{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1、Anomaly detection\n",
    "这部分，您将实现一个异常检测算法来检测服务器计算机中的异常行为。他的特征是测量每个服务器的响应速度(mb/s)和延迟(ms)。当你的服务器运行时，你收集到了m=307的样本，是无标签的。你相信其中绝大多数样本是正常的，但还是有一小部分的样本是异常的。\n",
    "\n",
    "我们将使用高斯分布模型来检测数据集中的异常样本。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.io import loadmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['__header__', '__version__', '__globals__', 'X', 'Xval', 'yval'])\n"
     ]
    }
   ],
   "source": [
    "mat = loadmat('ex8/ex8data1.mat')\n",
    "print(mat.keys())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((307, 2), (307, 2), (307, 1))"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = mat['X']\n",
    "Xval, yval = mat['Xval'], mat['yval']\n",
    "X.shape, Xval.shape, yval.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_data():\n",
    "    plt.figure(figsize=(8,5))\n",
    "    plt.plot(X[:, 0], X[:, 1], 'bx')\n",
    "  \n",
    "plot_data()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1 Gaussian distribution\n",
    "要执行异常检测，首先需要将模型拟合数据的分布。\n",
    "\n",
    "多元高斯分布的p(x)为：\n",
    "$$\n",
    "    p(x) = \\frac{1}{(2\\pi)^{\\frac{n}{2}}|\\Sigma|^{\\frac{1}{2}}}exp(-\\frac{1}{2}(x-\\mu)^T\\sigma^{-1}(x-\\mu))\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gaussian(X, mu, sigma2):\n",
    "    n = len(mu)\n",
    "    if np.ndim(sigma2) == 1:  # ndim表示矩阵的维数\n",
    "        # array是一个1维数组时，结果形成一个以一维数组为对角线元素的矩阵\n",
    "        # array是一个多维矩阵时，结果输出矩阵的对角线元素\n",
    "        sigma2 = np.diag(sigma2)\n",
    "        \n",
    "    X = X - mu\n",
    "    p1 = np.power(2 * np.pi, -n/2) * np.sqrt(np.linalg.det(sigma2))\n",
    "         \n",
    "    e = np.diag(X@np.linalg.inv(sigma2)@X.T)  # 取对角元素，类似与方差，而不要协方差\n",
    "    p2 = np.exp(-.5*e)\n",
    "    \n",
    "    return p1 * p2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 估计高斯分布的参数\n",
    "你可以使用下面的方程估计第i个特征的参数$(\\mu_i,\\sigma^2_i)$。估计平均值你可以使用：\n",
    "\n",
    "$$\n",
    "    \\mu_i = \\frac{1}{m}\\sum^m_{j=1}x^{(j)}_i,\n",
    "$$\n",
    "\n",
    "估计方差可以使用：\n",
    "\n",
    "$$\n",
    "    \\sigma^2_i = \\frac{1}{m}\\sum^m_{j=1}(x^{(j)_i - \\mu_i})^2.\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_gaussian_params(X, use_multivariate):\n",
    "    \"\"\"\n",
    "    The input X is the dataset with each n-dimensional data point in one row\n",
    "    The output is an n-dimensional vector mu, the mean of the data set \n",
    "    the variances sigma^2, an n x 1 vector 或者是(n,n)矩阵，if你使用了多元高斯函数\n",
    "    作业这里求样本方差除的是 m 而不是 m - 1，实际上效果差不了多少。\n",
    "    \"\"\"\n",
    "    mu = X.mean(axis=0)\n",
    "    \n",
    "    if use_multivariate:\n",
    "        sigma2 = ((X-mu).T @ (X- mu)) / len(X)\n",
    "    else:\n",
    "        sigma2 = X.var(axis=0, ddof=0)\n",
    "        \n",
    "    return mu, sigma2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_contours(mu, sigma2):\n",
    "    \"\"\"\n",
    "    画出高斯概率分布的图，在三维中是一个上凸的曲面。投影到平面上则是一圈圈的等高线。\n",
    "    \"\"\"\n",
    "    delta = .3  # 注意delta不能太小！！！否则会生成太多的数据，导致矩阵相乘会出现内存错误。\n",
    "    x = np.arange(0,30,delta)\n",
    "    y = np.arange(0,30,delta)\n",
    "    \n",
    "    # 这部分要转化为X形式的坐标矩阵，也就是一列是横坐标，一列是纵坐标，\n",
    "    # 然后才能传入gaussian中求解得到每个点的概率值\n",
    "    xx, yy = np.meshgrid(x, y)\n",
    "    points = np.c_[xx.ravel(), yy.ravel()]  # 按列合并，一列横坐标，一列纵坐标\n",
    "    z = gaussian(points, mu, sigma2)\n",
    "    z = z.reshape(xx.shape)  # 这步骤不能忘\n",
    "    \n",
    "    cont_levels = [10**h for h in range(-20,0,3)]\n",
    "    plt.contour(xx, yy, z, cont_levels)  # 这个levels是作业里面给的参考,或者通过求解的概率推出来。\n",
    "\n",
    "    plt.title('Gaussian Contours',fontsize=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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UICvMjlaj41x0PMmxaSTEJBH5814Kc4rx8HOjy7AwugwNo/PQDtflIh+DwYCmXFMd7KOitBJNuQZtpc64X1lThbZSa9xHXKVHf/GxylAdncv4KEFKpORPW7AuumyFAGFhgYWFQFgILCwssLC0wNLKAksrSyytLbG0sqzeZ2w8rLCxs8HWwaZ669bFPcfX275iTYWGU/vOcXRbDMd2nORcVBwGg6RDvzZ0iQjDO9CLpi39aN4pCEcXh4burkJRa5QgK2qNTqvj9P5znIg8zfGdp4g9cA5tpQ4AaxsreozuzOg7h9F1eFijtXwNBgNZiTlkXMgiOyWPnGSjpZaXUUBJfml1II7SgrLLRtlqzNg72f2+xcvDCQ9/dzz93fFs4oFnE3f8m/vSrG3TRitu+ZkFbF60k82LIkk5k/aHc01a+NKicwihXZozeGY/fIO8G6iXCsW1owRZcc0U5hSx7sutrPl8E/kZBVhYCFqEBxM2oB1hA9sTEtYMn2ZejU6EpZSknE3n9P5zxB9NIP54IvHHEikvqfhDOQ8/NzybeuDi6YyzhxPO7k64eDjh4GKPvZMddo52xihcDjbY2NlgbWtVbalejJB10YK1sLT4/bAQ1ZYvAEJwcR1T9VdMSuRFC7qGVW3QG6otbn2Vvjqil05ThdYUSUxbqTNGGquO8KUxroAuLKOk0BiVrDivlLyMAvLS8tFUaP/wur0DPGnWLoDg9oG079OaDv3b4u7jWsfvytWh1ejIS8sn+UwacUcTiD+WQNzRRDIuZGFhIeg5tivj542kS0RHtQZBcd2gBFlxxRgMBs4ciuPQ+iOcO3yBY9tPotPo6D4ynNF3RhA+uANObo4N2ke9Xk9WYg5pcZkUZhWRn1lIQVahaa9yKaWF5WTEZ1KQVQQYFxE17xRMi07BtAwPpmmoPz6BXng29cDG1rpBX0t9IKWkvLic3LR80uIyST6dSlJsKkmnU0k6lVLt6WjS0g8PPzccXR1wcnfE2c0YUMXF0xnvQE98g7zxDfLG2aNhV0lnJeWw7qstbPhmG4U5xfiF+NC6ewuC2zcjuEMgwR2a4d/cp9ENEhUKUIKs+Ae0lVqiNx9n/5poDq47TEFWERaWFgS1C6Bj/7aMv3ckQW0DGqx/aXEZ7F8TTdyxBJJOpZJyJu1PFp+dgy1uvq44ezjh6OqAV1MPOvZvR8f+bWjayl9ZUH+DTqvj/JEEYnbFcubQeUpNA5rq+N9F5X+6xs7RlmZtA2jXO5R2vVvTvk8o3oFe9S7SWo2OPSsOsGPpXpJOpZJxIesPfYyYPYAbHhyjFogpGhVKkBV/SVlxOb99vpmVH6ylIKsIBxd7eozqTO9x3eg+qnODRb4yGAwknUphz8pD7Pn1IBdOJAHGoBNB7QMJbhdAUPtAAkKb4OHvhruvG/ZOdmpvax2g1+uN+8cvxtFOyiUzMZv444mci4qv3srmHeBJr7Fd6Te5Fx36tWkQz0NFaQVJp1NJPJnCid2nifx5HzqNjp5jujD5obGED+6gPiOKBkcJsqKavIwCfvt8E0e3G1e0Vun0dBkWxpSHxhI+pAPWNvX3Q1pSUMrpfWc5vf8cGQlZ5KTkkZuaR25aPlU6PUII2vdtTf8betF3Ug+1iKeRUaWr4sKJJE7vP8fxyFNEbzxWLdAXvRS+wd74BfvgF2yMM96hXxtcvVzqpX8F2UWs/Xwzaz7bSGFOMQ4u9rTsHELL8BBadgkhtFsLmrVpqkRaUa8oQVaQnZLL0jdXseHb7eir9LTu3oKO/doycHqfy0ZiMid6vZ4jW06wb3UUJ/eeIfFkCmBMJ+gb5GVMCBHoiXdTT5q09KPnmC54+LnXS98UtaeyXMPhzcdJPGnac5yWR2ZCNpkJ2dWubyEELTsH0yUijC7DOtWLNa2t1LLrlwOc3neW80cTSDiRVD3l0a5Pa2Y8MZGeY7qoaQ1FvaAE+T+KlJLEUyms/ngDmxbuQEoYfssgZv5vUr2l1yvOKyH5TBrRG4+xeVEkOal5ODjb065PKB36tqVD/za07t4SOwfbeumPomEoLSwj6XQqR7fFcGTrCU7vP4e+So+zuyODZvSj9/hu+AV74x3oVeefBX2VnpSz6RzZeoKVH6wjKymH4PaBTH54HN1HhuPprwaBirpDCfJ/CH2VnpN7zrB/TRT7f4smPT4LaxsrRt42hOlPTKxTt+/FZASxB84Te+AcsQfOkR5vXGhjYSHoOiKckbcOpvf4bvXqGlc0PspLKjgeeYrIpXvZs/Jg9UpvIQQBrZsQ2q05rbu1pHX3FrTs0rzOrOgqXRU7l+3n5zd/rfbYBHcIpGtEGF2Hd6LjgHZqsKgwK2YVZCFEIPA94AcYgK+klB8KIV4A7gRyTEWfklKuv1xdSpDNR2W5htWfbGT5O6spyi3B2taazkM70Htcd/pM6Fanrt/i/BI2frudNZ9tIivJ+PZ7+LnRtncobXuGEtKxGS3Cg/81lkdluYasxGzyMwspyimmMLuYwpwiivNKqSyrpKK0kvKSCipLK9FW6qjSVVGlNR06/Z/qs7C0wMrGCmsbKyytLbGxtcbOyQ776sMeJzcHXL1dcfN2wdXbBTcfF/yCfRp8C5I5KCsq48KJZLKScsiIz+L80QucjYonP6MAAGcPJ4bfMoixc4cRENqkTvogpeRsVBzHI09zZOtxYnafQafRYW1rzYg5Rq+STzO1hkFRe8wtyP6Av5TyiBDCGTgMTASmAaVSyneutGNKkGtPXkYB25fs4Zf3fiM/o4BuIzox5q5hdB0WVqfB+nPT8ji67WS1laOp0BI2sB2jbh9Kx/5t8WlW/9tgrhYpJSUFpRRmF1NWVE5pYRnlRcb0gpVlGirLNWgrtFSWayjMLiLjQhaZCUYhvhQhBE7ujjg422Pv/LuY2tjbYGVt9bvgWlrAJffFYDBQpa1CZxJtbaWuWtgrSyspL6mktKD0L8Xc3skOvxAffIO98W3mbQyjaW+LtZ21Maymkx2OLvbYO9vj4GyHs4cTrt4u10XGpdz0fM4eimPHz3vYs/IQ+io94UM60DUijOadgmnZObjOBpqV5RpO7jnDruX72fJ9JAARswfQY3QXOg1uj4uHc520q/j3U6cuayHEauAToC9KkOuN1PMZLHjmJ/asOIDBIOnYvy1zXp5B2IB2ddKetlLL0e0nObz5OEe2niDpdCpgFITBM/oy4b5RNA8LqpO2a4O2UkvquQySTqeSHGsMiJGTkkdBZiH5mYXoNLrLXi+EwM7RFmcPJ5q08DWuGG7ui3+ID55NPKqtVWcPpzoNRHExuEdhTjFFuSXkZxSQnZRLRkKW0bK8kEVuaj6acg06bdU/1mdpZYmrlzNuvq74N/elSXNf/Fv40aSFL83DgnD3dauz13It5GcWsGlBJBu/21Y9DQJGT0yLziF0jQhj5G2DcXQ1f9Ca7OQcfn5zNVsWRVJZrsHW3obRd0Yw5ZFx+AR6mb09xb+bOhNkIUQwsAvoADwMzAGKgWjgESllweWuV4J89RRkF/HDS8tZ99VWrG2tmHjfKIbPGVRnwQ9KC8tY89kmfv1oPYXZRdjYWdNxQDu6DutE12FhBLUPaFQRkap0VcQeOM/hzcc5vPVEdbICMM5j+zX3xS/YGw9/dzz83PHwc8Pd1xVHN0ccXR2qD3snO2wdbLG2sWr0luSl6PV6dJoqNOUayksqqCippLy4nLLiCkryS41u9pxiinKKyc8sIONCFhkXsv8wOGnS0o/2fVvToW9bOvZvQ0Bok0ZzH8qKyog/nkTckQTijiVw/vAFEk+lYO9kx4g5g5lw/ygCWvmbvV2dVse56Aus+3oL23/cgxAwdNYApj8xQQUfUVwxdSLIQggnYCfwqpRypRDCF8gFJPAyRrf2bX9x3V3AXQDNmjXrmpSUdGWv4j9OYU4Ry95azdovt6Cp0DLmzghuen5qnVgyFaUV7Fy2n8NbT3Bo3RHKSyroPjKcifePJnxwe2zsbMze5tWgqdBw4UQyKWfSyEsvIC893xizOT2fpFOplJdUYGEhaNOzFZ0GtSekYxBB7QIICPVv8L43VgwGA3npBaTHZXIuOp6Te89wau+Z6jSa3gGe+IX44OLljKunM55NPPBv7otfiA9+IT54NnFv0G1DcUcTWPnROnYs2YO+ykC7PqG06xVKuz6tadc71Oyu7aykHJa/s4YN325Dp6mi+6hweo7uSvdR4fiH1M8OBsX1idkFWQhhDawFNkkp3/uL88HAWillh8vVoyzkf0ar0bH64w38+OoKKkorGTClFze/MK1ORuSZidms/mQjG77dRllROR7+7nQfEc6k+aNp0SnY7O1dKblpeexZeYgzh84TdzSBlDNp1VYvgJObIx7+bnj4uxPQyp+uwzs1ipjb1ztSSlLPpXPclOErP6OA4tySauu65m+Frb0NbXu1ImxAe8IGtqNtr1YNMvjJzyxg7RdbiNp0jPijCdXue78QH3qM6szkh8bSpIWf2doryCpk5Yfr2blsX3XozsA2TRk4tTeTHxqrPoOKP2HuRV0CWATkSykfrPG8v5Qyw/T3Q0BPKeWMy9WlBPnvkVKy59dDfPPEYtLjs+gxujN3vXUTQe0Czd7W6QPnWP7OGvatOgRCMGBKLyY9MJq2vUIbzE1ZmFPEnpWH2PHzHmJ2xSKlxKupBy07h9AiPJiWnUMI7tAMr6YealtKA6DV6MhOyiEjIZvMC1kkn0kjZncsF44nIaXE2saKjgPbMXh6X/pM6I6LZ/0vgtJWaok7msCpfec4te8Mh9YdQV+lZ8DU3kx7bAKtujQ3W1tSStLOZ3Bo/VEOrj/Mka0xOLs7Mv2JSUy4b6T6jCqqMbcg9wN2AzEYtz0BPAXMBMIxuqwTgbkXBfrvUIL8R956C7p3h0C3BD57cAExu2OxCRpMi6ET+egb8233kFKSeDKZ3SsOsnvFARJPpeDs4cSYOyMYN29EvS5UuZhdKv5ogjH70OkUkk6nVmdqCmzdhMEz+jF4Zt862/KiMB+lhWWc3HOG45Gn2LvqULXV6OBij2+QN0HtA2neMYjmYc0ICQvCO8Cz3gZ9uen5/PrhetZ+sZnykgq8AzzpOaYL/Sf3ImxgO6ysrczWVtzRBL575ieiNhzFwcWeXmO7MuXhcWYdBCiuT1RgkOuE334tZeaNlrTRvEWwVxJdZs/j/cVdWbZMMHhw7es3GAxE/ryXH19dQXJsGkIIOvRvw4ApvRkxZ1CdbpO6lMRTKWz7cTfbl+wmOzkXAAdne5q1CyCobQDN2jalS0QYLcKDG81iIsXVIaXkXHQ8xyNPkZOSR2ZiNoknk8lMzKku49/clxFzBjPsloH1NhAsLSxj+5I9HNsRQ9TGY1SWaXD2cKLP+O5E3DSAToPam+0zd3JPLJsWRrJn5UFKC8sYPLMvt748s94i5SkaH0qQGzn6Kj1rPtvE9y8sI7WoOWdsH+fe+yz4doENy5ZRazHWV+k5sPYwi55fSkJMMs07BTF27nD6Tuxeb7Gi9Xo9qecyOLLlBJsW7iD+WCIWlhZ0Hd6JoTf2J2xgO7yaeijx/Q9QVlRGwskU4o8lsufXgxzbfhIhBJ0jOhIxewChXZvTpKVfvURz01RoiN50nN0rD7B/TTTlxRW069Oa6Y9NoHNER+wd7czSTllRGUvfWs3KD9ahr9Iz9u7hTH98Al5NPc1Sv+L6QQlyI+b0gXN8NO9r4o8l0iWiI/M+uJVvfw7k5Zfh2WfhpZeuvW5NhYZfP1zPqk82kJdeQJOWfsx5aQYDp/WulxWxGReyWP/1Vk7tP0vckQQqSisBCO3WgojZAxg0vU+j2++qqH8yErLYsmgnmxdFVkd6s7C0oGlLP5q1bUr7vm2JmN2/zj8r2kotmxbs4Kc3fiUnJQ8ra0va9WnNxPtG0XdSD7N8Z3LT81n8wjI2frcdC0sLhs4awLTHJ9Csjdo29V9BCXIjpDi/hO/+t4T132zDs4k78z64lX439CQyUjBtGtxzD3z+OddkIev1erYu3sWi55aSk5pHtxGdGDt3OD3HdDHrPNlfIaUkZncsKz9Yy77V0VhYWhDarTmhXVsQ2q0FbXq2+tf++FzMHVxkCt5RlFNMWXEFlWX7qJnrAAAgAElEQVTGiFuVZRo0FVr0VXrTYcCgNy7DsLC0wMLSAktLCyytLY1RthxtsTU9Ork54uLljIunM66mx7p+L+sbg8HAheNJ1UFcks+kkXQqhZSz6VhYWtBjdGdGzBlMzzFd6tR61ml1HI88zdFtMexddYi08xk07xTELS9Mp/f4bmbx4mRcyGLlh+vY8M02tJU6+k7qwYwnJ9G6W/1kXlM0HEqQGxFSSrYu3sWXjy6ipKCMSQ+M5uYXpuHgbM+OHTBt2u8ifOn/V1L3vtVRfP/CMi6cSKJNj5bc+dZNdRa9q2a7ybGpHN5ygq2Ld3L+SIJxkdhdw5hw74jrzi0npaSsqJyS/FKK80ooziuhtLC8OpRlRWklFaUVaMq1lBSWkpWYQ1ZiDnnp+X/YjnUpQghs7W2wtLbE0sqyWoQBDHpD9VGlrUJToeVy30UhBB7+bvg088I3yBtXLxds7W2wc7TD1sHmD0Lu5OaIo5sDTm6OuHq7mM0NW18kxaayeWEkWxfvJD+zEDdvFwbP7EfbXqG06hJCk5Z+debx0ev17PhpL4tfWk56XCatujZn/LyR9J/cE0cXh1rXX5hTxKqPNrD6042UFpbRd2J3pj8xibY9W5mh94rGiBLkRkJ6fCYf3vMVR7bG0LZXK+Z/ftcf9vdeXGVdU3x37ICoKHj88cvXfTYqjs8eWsjpfWdp0sKXW1+ZycBpfepsTrZKV8XuFQeJ2niUI1tPkJduDMoW1C6ACfeNYtjNAxv1Vg8pJZkJ2Zw/coHEkylkJeeQnZxLdlIOOSl5/xh+0trGClsHWxxdHYxxpIO88Q7wxM3H1RhO09sFFy/n6qhfdo522NrbXPH7IaVEW6k1xtQu01BaWGYcHOQaBwgFWUVkJ+ca+52UQ0l+KZoKbXXWpMvh4GxfvW/bq6kHAaFNaGZaSNe0lX+d5ye+VvRVeqI3HWP9N9uI2nC0+j2yd7KjS0RHbnhwLB37t62Tz7y+Ss/WH3bx0+u/knY+A1t7G/pO6kHETQPpEtGx1tHqyorLWfXxBpa9vZry4gra9GjJxPtHM2BqL5UZ7V+GEuQGpkpXxS/vrWXxi8uwsrbijjdmMWbuMLOM6vMyCvj2qR/Zsmgnbj6u3PbqTIbPGVRn4SwvzrMtfWs1WUk5uHg603loB7pEdKJLREf8gn3qpN3aotXoOLnnDEe2HOdsdDxxRxIoLSwD/mxt+gR64ebrhounEy6eRvdwdeIIJzvsHG0brbvYYDCgqTAJeWllddKMsqJySgrKKMwuIj+jgPzMAvIzCo2DkOTcamvcwkIQEhZE+OAOdB7SgY4D2uHgXH+r76+UKl0VSadTOX8kgXNRcexcvp/ivBJCu7Vg6iPj6D+5F5ZW5v8OSCmJPXierd/vJHLpXkoKyvBs4s7UR8Yzbt6IWg9myksq2LwoktWfbCD1XAbegZ7c+eZNDJped4NrRf2iBLkBuXAiibfmfEL8sUT6TurBfR/dZhYXrlaj45d3f+PnN36lSlvFpPljuPHpG8ziRvsrEmKS2PjdDiKX7iU/s5C2vVox6+nJdB/VuUFDJtbEYDCQm5pH6vlM0s5nkHY+g8yELPLSC0g8mUJluQZLK0tahAfTqktzWnUJoWWX5oR0CPxPh9SsLNeQejad5DNpJJ9O5dS+M5zadw6dRoeFpQVB7QLwbOKOh787nv7GR//mvoR0bFav+4j/6TVs+X4nK95fS9r5DLwDPOk6LIywgcbIYXWRB1yr0XFw3RF++3wTR7fF4B3oyfBbBjF0Vv9aR9IzGAxEbzrOgmd+Iu5ogvH79swUeozq3Cjut+LaUYLcAOi0On567VeWvLYSZw8nHvjsTvrf0NMsdUdtPMonD3xHelwmfSf14K63bjJrOMCaJJ1OYfFLy9m5bD/WttZ0HR7GDfPHED64Q4P/MFyMjnR4ywmObD3BsR0nKS+uqD5vY2eNf3NfvAI8q0NqdhrUvlFafI0NTYWGU/vOcXRbDImnksnPKDRZ1oXVC9HAGLY0uEMgLToF02tcN8IHt29Q74HBYODA2sNsWrCDmF2nKSkwekF8g7zpPb4bUx8ZVyd5jY9si2HpW6s4ti3GmH1tQFtuf20W7fu0rlW9er2ezQsj+eHlX8hOzqVl5xBuf30W3YZ3MlPPFfWNEuR65mx0PO/e/hkJMckMndWfeR/capbQgZmJ2Xzx8EL2rooiINSf+z6+na7D6uaLmXouncUvLWfHT3uxc7Rl0gOjmfzw2AbPA2swGDh/JIHtP+5m76pD1dtk/IK96RIRRssuzQkI9adpK3+8mno0Guv934Jer6c4t4TUcxkkxCSTEJNEwslk4o8lGgNsuDvSZ0IP+k/uSafBHRp0HYHBYCDxZAondp7mWORJDq49jJQw7KYBTH9iYp1EfstNz2fHxfzkmYX0u6Ent792Y63b0ml1bF+yhyWvriA9Pos+E7pz97u3qAAj1yFKkOsJKSVrv9jMJw98h7uvK/M/v4ve467ovl+Wi3PQP7y0HCEEs56ZzA0PjTX74puLbrLfPt/EwXVHsLW3YcJ9I5n66HhcvVzM2taVUpRbzOEtJzi69QTxxxNJjk1DU6HF2saKbiPD6T4inC7DwmjSwq/BLfb/MtpKLdGbj7N7xQH2rY6q9lR4NfWgSUs/mrTwI7B1E8KHdKBl55AGGShlp+Sy/O01rP9mK9pKHcEdAhl+y2BG3DrI7APNirJKVry3lmVvr0ZTrqHH6C7MemYybXrUbvW0VqNj5ftr+fHVFeh1esbPG8HMp25osO+n4upRglwP5Kbn8/5dX3Bo/VG6jwznqSUPmiXTy+n9Z/ng7q9IiEmm78TuzPvwNrOHGCwpKGXDN9tY++UWMi5k4e7ryqjbhzLx/lENErgjISaJyKX7iN58nPOHLyClxNnDidBuLQhuF0CL8BB6jeuKs7tTvfdN8c9oNTqObosh7kgCaXEZpMVlkh6XSWG2MT65m48r3UZ0ovuIcLqP6lzv72NBViFbvt/J3tVRnN53Flt7GwbP7MeEe0fSsnOI2dv69aP1bPhmG4U5xQyd1Z/bXp1Za7d5bloei55byuZFkTi4OHDrKzMZMzeiUeUmV/w1SpDrmJ3L9/Ph3V+irdRxxxuzGX/viFpbAGXF5Xz75I+s/XILXk09uO/j2+kzobuZemxEU6Hht8838+MrKygtLCNsYDvG3zOCPhO71/tWi5zUPI5tP8n6b7Zycs8ZLCwtaNurFd2Gh9NtRCdadW2ufmyucwqyCjm85QTRm44RvekYRbklWNta039yTwZO60PLziH1vkgs/ngiaz7dyPYle6gs1xA2sB0znpxEl6EdzbpKu7ykgp/f+JVf3luLEDD5obFMfXR8rQcjiadS+HT+dxzbfpKWnUO4/5Pbade7dvPWirpFCXIdsvG77bx7x+e06dmKJxbdZ5Z5qahNx/hg7pfkpuYx8f7R3PLSdLMuRKooq2Tdl1tY/s4a8jML6TaiE3e8Mbvecx6nnktn6+JdbP9pT3VWoCYtfBl79wiG3zJQueH+xej1es5FX2DbD7vY9uPu6i1ozh5OdB0WRq+x3eg+Krze1iyUFJSyacEOlr/7G/kZBbh6OdN3Yg8GTutD+JAOZnOxZyXl8N3TS9i+ZA9Obo7c/MI0xt0zvFYL4aSU7Fq+ny8eWURuWj4jbx3M7W/Mws3b1Sx9VpgXJch1gL5Kzw8v/8KSV1fQZVgYL656otZzuiUFpXzxyCI2L4wksE1THv32HrOOdg0GA5sW7OC7p3+iMLuI8CEdmP3MFDoNam+2Nv6JsiJjpp0ti3cSe+A8FhaC8KEd6Tm6C+37tKZV1+ZqIdZ/DE2FhvNHEkg4kcSZqDgOrT9KYXYRFpYWtO/bmkHT+jLs5gH1ko1MW6nl4Pqj7PplPwd+i6ayTEOrLiHc+spMuo0IN5v1Hncsga+f+IEjW07QrG1T7n5vDt1HhNeqzorSCn54eQUr3l+Lg7Mdd7wxm5G3D1Hfp0aGEmQzU5BdxPMT3yT2wHmG3TyQBz67s9arSaM3H+ftOZ9QmFPMjCcmMuuZyWbdG3tq31k+nf8d5w9foH3f1tzxxmw69G1jtvovh16vJ3b/OXavOMjGBdspL64guH0gw24eyJAb+113oTUVdYvBYOBsVDwHfotm35ooEk+m4OBiX50VrH3fNngH1P1nRlOhYeey/Sx+cRmZiTmEDWzHpAdGmy2WtpSSA2sP88Uji0iPy6TnmC7MfefmWu9hTjyVwkf3fk3Mrlja9Q7l4a/vJqhdYK37qzAPSpDNSGW5hseGvEBCTDKPfjePQdP71qo+nVbH4heXs/TNVQS1D+TxhfeZdWFJbloe3zz5I9t+3I1nE3fuevtmBs/oWy/zdKnn0ln+zhr2rY6iMKcYK2tL+t3QkykPjyO0W4t/3apoKSUVpZUUZheZjmJKCkqpKKmkvKSCipIKKkorqdJWodXqqNJWodNUYdAbkFIao2WZvn6WVhZYWlthZYp7bWNng111jGpjtDBnD6fqw8XDCXc/tzoLDNOQxB48z68frWPfqig0FVoAOg5oy+g7Iug/uSe29nW7tUqn1bH+62389PpK8tIL8A7w5JaXphNx0wCzrGvQanSs/ngDP7zyC9oKLTc8OJZZz0yu1TRVzZj55cUV3PzCNKY8Mq7RRpj7L6EE2UwYDAZenvYee389xPMrHqXvxB61qu/CiSTevOVjLhxPYsScwdz70a1mc8vpq/Ss/mQjC5/7mSqdnmmPjmf6ExPqxe2XfCaNH1/5hcif92Jta03fST3oM7473UaG/ysEoyC7iPhjiaSeTSc9PtN0ZJGdlFMtGH+FlbUldo522NhZY2VjhbWtdbXgIowhPC8OUi5mhKrS6dHr9GgrtWjKtVSWVV42gYWDiz0+gV54B3riE+hFUPtAgjsEEtKx2XU/p1ilq+LCiSQObz7BxgXbSY/LxMnNkaGz+jP27uEEt69bK/BiLO3FLy3nbFQ8IR2bcccbs+k+0jyu7IKsQr793xI2LdyBh787d711E0Nu7Feruguyi/j43q/ZveIgzcOCePDLuSpxRQOjBNkMVOmq+PSB71j75RbufvcWJj80tlb1bV4Uyft3fYGzhxMPfXW3WfYrXyThZDJvz/mE80cS6D6qM/d/fHu9BBA4uj2GVR9vYP+aaGztbRg/bwRTHh2Pu8/1IwQVpRUkx6aRnZxLXnoBeen55GUUkJdRQEleCXmmiFUXsXOwpUlLP/xb+OIX7IOHnxtuPq64+xqTTDi7O2HvbIeDi4NZ9o1LKdFpq6goqaCkoOwPGanyMwrJTc0jJzWXnNR8Mi5kUZJfWn2tm7cLnk09cPF0rraqXb1djALezAufZl74BHrWy6CttkgpOR55ig3fbmP3ioPoNDo6DmhLj1Fd6D4ynOZhQXXmgbm4iOrbp5aQcSGLjv3bcstL0+k00DxrMWIPnueT+7/lXHQ8Hfq14YFP7yCkY1Ct6ty76hCf3P8teekFTHl4LLe9dqOylhsIJci1JDctj1dmvM+pvWeZ+sg47nzrpmv+skspWffVVj6a9zXhQzrw9E8Pmm01sV6vZ+X761jwzE84ujly/ye3039yrzp3DccePM+CZ37i6LYY3H1dGXHrECY/NKbRW2SV5RqO7zhJzO5YEk+lkHQqhczEnD+UsbK2xMPfHQ8/N5w9nXHzcSGkQxAtOwcT1C4Ad1+3Rut6l1JSkFVI4skU43EqhYLsQorzSikxiXhJfumfLG7PJu607BxCy/AQWnQOIbRr8zqJBW0uivNK+O3zzexasZ8Lx5MA42sYP28kE+4bWWdeGZ1Wx7ovt7Ls7dXkpObRd2J37njzJgJa+de6boPBwMbvdvDt/36ktLCMSfeP4uYXa7fboqy4nG+e+IG1X26hba9W/O+H+SrSVwOgBLkWHNl6gtdnfUhluYaHvrqbITP7XXNdJQWlfHD3V+xavp9uIzrxwsrHzDb/lXAymffu+Jwzh+LoO6kHD35xV50LYkJMEgufW8q+1VG4ebsw86kbGDt3WKNN1GAwGEiPy+TQhqNEbTzK8cjT6DQ6rKwtCWzT1OjebRdIUPsA/EJ88DJZk//mVar6Kj156fnVWZ+yknJJik0h/mgiybGp1WIdEOpPj1Fd6DG6M217hTbaeOC56fkc3nycyKV7id50HCc3RyY9MJqJD4yqsy1UleUaVry/lqVvrkJbqWPCvSOZ9exks7RXnFfCd08tYf032/Dwd2PuO7fUOvPTzmX7eO/OLzDoDdzy0nQmPTC6TjJjKf4aJcjXSMzuWB4d/DzN2gbw7PJHaNbm2lc/lhSU8lD/Z0k9l8Gcl6Yz9bHxZgt0sfG77Xw072scXR2Y9+FtdZ6q7cKJJH545Rf2rDiIvbMd0x6dwKT5oxvVj7Reryf2wHlO7o4lKTaVpNOppJxJo7JMA0Bg6yb0GNWZ7qM607F/20Y7iGhIKss1JJ5M5vT+c0RvOsaxHafQaYz5lt18XAls04RmrZtWD2ba922NvaNdA/f6d85Gx/PTayvYuyoKaxsreo7typSHx9U64cPfkZ9ZwKLnlrLxu+3YO9sz5eFxTJo/2iwWeuzB83w072vijibQdXgn5n92Z62s2+yUXD6+9xsOrD1M56EdeXbZwyryXT2hBPkaqCzXcG/3J9CUa/nqxLu1EhudVsdTo17l5J4zvLr+aboM7WiWPlbpqvjy0e9Z9fEGugwL46kf59dpMI3zRy7w4yu/sHdVFA7O9ky4byRTHhnX4AknLlKcX0L0xmMcXH+EqI3HqudPvQM8adYugGZtmhLcPpDOER3xD1GuuqulslzD8chTJMQkk3Y+g5SzaSTHplXfZ2sbKzoOaEv3kcaBTrM2TRuFOz8hJolNC3aw+fudlOSX0q53KFMeHkefid3rJPrbhRNJLHzuZ/avicbZw4lpj01gwn0jaz1Y0ev1/Pb5ZhY8/RP6Kj2zn5vKlIfHXvNcsJSSTQt28OE9X+Hf3JeXf3uSpi1r725XXB4lyFdJdnIOz096m/hjibyy9n/0GNX5muuSUvLO7Z+xeWEkjy+8j2E3DzRLHzMuZPHmLR9zau9ZJj84hjvfuqnO3E6Zidl89dj37F5xEEdXB26YP4ZJ80c3ihF1UW4xJ/ecYduS3exfHUWVTo+btwvdR3Wm5+gudBkW1ij6+W+mKLeYuKMJRG08RtTGoyTHpgFGN/fQWQMIH9KB5mFBDe5BqSirZPPCSFa8v5aMC1k0aeHLzP/dwJAb+9WJh+RsdDyLnl9K1IajuPm4csuL0xl1x5BaDwJyUvP4dP537P31ECEdm/HQV3fXauX0iV2neeGGt9FX6bnnvTmMuHVwoxhI/VtRgnwV5GcW8GC/ZynOK+F/PzxAzzFdr7musqIy3przKftWR3HTc1O5+YVpZunj8chTvDjlHQx6Aw98egdDbuxvlnovpbJcw7K3VrP0rVVYWFgw7bEJ3PDgaBxda580ozakns9g04Id7Ft9qPrH39XLmaGzBjBoRl9Cu6m41w1JVlIOhzYcJXLpXk7sPF39fNNW/nQfEU7v8d3oOKBtvcdLv4her2ffqih+en0l548k4OzuyNDZAxh9ZwQhHZqZvb3T+8/yzZM/ErM7lhbhwcz74FbCBrSrdb37Vkfx8X3fkJdewKQHRjPn5enXvEI+IyGLd277jBM7TzN27jDu/eg2tQq7jlCCfIWUFZXxyOAXSDuXwVvbnq/VqPPCiSRenPIOWYk53PX2TUx6YLRZRp3rv9nGR/O+pklLP1757UmatPCrdZ2XIqVkz8qDfPHIIrKTcxk0oy93vjnb7FmmroaK0gp2/XLAmHh+dywWFoLOEWF0GtieDv3a0KZnywb7gVf8PXkZBcQduUDcsURiD5zj6LYYtJU6HFzs6T4ynIHT+tJ7XNcG+fGXUnJsx0nWf7ONvSsPotNW0WlQe25/fZbZ9+pKKdm5bB9fPb6YnJQ8BkztzV1v3VTr1esXk9D89sVmfIO8mf/FXdccgtNgMPDdU0tY+tZqNa9chyhBvgL0ej1PDn+ZmN1neHnNE3Qfee1u6r2rDvH6rA9xcnfkmaUPmyVEpcFg4JsnfmD5u7/RbUQnnvn5oTqxVHNS83h/7pdEbThKSMdm3PvRbWbbX3m1GAwGTu8/x85l+9i8KJLy4goCQv0ZcesQIm4agFcTjwbpl+LaqSzXcHRbDPvXRHNgbTQFWUV4+LszZGY/Og1qT/u+rRtEBIpyi9ny/U6Wvb2agqwi+t3QkxlPTqJ1txZmbaeyXMPyd9aw9M1VAMx6ZgpTH619BK2Te2J5784vSDmbzrCbB3Lfx7df8xTBpoU7+GDul/g39+Wl1U+YJWGO4neuRpCrQ/jVx9G1a1fZWNjx8x4ZIabIdV9tqVU9Oam5crzrTfLeHk/I/MwCs/StILtQ/m/UKzJCTJEfzvtaVumqzFLvpUQu2ycnedwixzrOkiveX1tn7fwTcccS5Ef3fi2nNblTRogpcpTtDPnKjPdkzO7T0mAwNEifFOanqqpK7lsTJf83+lU5ynaGjBBT5HCrafK5iW/KA+sOy6qq+v/8lZeUy+9fWCbHu9wkI8QU+fCg52TMnlizt5OVnCNfmPy2jBBT5N1dHpPnj16odZ2aCo1c8MxPcrjlVDkr+B4ZvfnYNdd1fOcpOclzjhzjcKP89eP1Uq/X17p/CiNAtLxCjfxPWsin9p3luQlv4ubjwtcx713zvtOLSSfijyXydcx7ZnEnH995itdnfUhxXin3vD+HsXOHmX3BRVlxOZ/O/44ti3bSunsLnvxhvlmCG1wt5w7H8+MrK9i3Ogpbexu6j+pM/xt60nNs139FyE3F36Op0HDmkDHT0+ZFkRRmF+Ed6Mmo24cy6o6h9e4NKSsqY/0321nx/m/kpRcwYGpv7nhjltlX5+9eeZCP7/2a4rxSpj8+wSxJZU7uPcO7t39G6rkMRt0+lLnv3HRN3rTc9Hzeu+NzojYeo/PQjjz67T34NGu8AWKuF5SFfBmObo+Ro+xmyptb3SdTzqVfcz2ZidnyxqC75RiHG+WuX/abpW+bFu6Qwy2nyjmt75dxxxLMUuelnNx7Rs4KvkcOt5wqFzz7k9RpdXXSzt+h1+vl7pUH5OPDX5IRYoqc6H6L/P7FZbKkoLRe+6FoPGg1Wrnrl/3yiREvywgxRY60mS6fnfCGXP/NVrN5na6U8tIKuej5pXKMw41ylN1M+flDC2R+VqFZ2yjKK5Zv3fqJjBBT5K1tHpBno+NqXWdleaX86vHFcrjlVDkzcK6MP554TfUYDAa59svNcqzTLDne9SYZs/t0rfv2X4ersJD/U4KcnZIrp/jcJm9rN18W5hRdcz3F+SXytnbz5QS3m+WZqNp/maSU8vSBc3KU7Qz5WMSLsryk3Cx11kSv18slr62Uw62myZta3CtP7Ttj9jYuh8FgkFGbjsl7uj4mI8QUObPZXLnktZWytKisXvuhaNykxWXIzx9eKG8MultGiClymMVU+UDfp+WOn/fUq0s7JzVXvn3rp3K45VQ53vUmufzdNWYfvEZtOiZnBs6VI22my2VvrzaLmzj24Dk5I+AuOdZpllzz+aZrnvJJj8+Uc1rfL8c5z5Ybvt2mpo5qgRLkv0Cr0cr7e/9PjnOeLZNiU6+5Hk2FRj408Fk5ynaGPLbjpFn6tuPnPXKs0yw5O+QeWZRbbJY6a5KfWVBtfbwy4z1ZWli/1uiZQ+flo0NfkBFiipwdco/csnhng8wXKq4fDAaDjDuWIBe/tFze2uaBamty86LIevXqJJ9JlU+NeVVGiCnytnbz5eEtx81af1FesXz+hrdkhJginxjxsszLyK91nTmpudUeqMeHvySzknOuuZ5HBj8vI8QU+fykN2tlxPyXuRpB/s/MIS9/Zw1fPb6YZ5Y+zMCpva+5nq8fX8yyd9bw1JIHGTyjdrmRAdZ/vZX3535Juz6teXbZw2afOzt94ByvTHuPotxi7v3wNkbdMbTeggBkJmbz1eOL2f3LAdy8Xbjx6cmMmTvMLFmQGjNajY6inGIKs4soyi2hoqTClB/ZmCdZW6lFr9Oj01ZRpa1CX6Wvvvbie2NpZYm1rZUxbaONNda2Vtg72+PgbG/MJuVsj4sp+YWrt8u/eguYXq9nz8pDLHl1BRdOJOHq5czwWwYx9bEJ9ZZZ7MDaw3z+0ALS47PoO6kHd797C37BPmapW0pjApovHl6IrYMt939yOwOn1S4crpSStV9u4avHvsfW3oZ3drx4TekqDQYDK95fx4Knl+AT5M2nh15v8LgE1xtq29MlSCm5s+PDOLk78sHuV665nrS4DO4Of4y+k3rw5OIHat2vA2sP8/zEN+k6IpwXf33MrD+qBoOBZW+tZsGzP+MT6MnzKx6jZecQs9V/OSrKKln65iqWv7OmOsDI5IfHNnjkJnNSkFVI3NEE0uIyyYjPqs6TnJdeQFlR+T9eb21jFNvf8yMLMH0XpZToqwxUaavQXSLYf4eTmyPufm74hfjQpLkv/s198W/hS3D7QPyb+/4rIjFJKTm04SibFu5g78qD2NjbMPG+UUx9dDwunnUfzlVbqWXF++tY8toKpEEy+9kpTH54rNm+t0mxqbxz66fVCWMe+PQOPPzca1Vnytk0Hh38AgCvbXiaFp2Cr6meE7tO83jES/QY3ZkXVj72r07AYm6UIF/C9iW7eX32R8z//C7Gzh12TXWcP3KBp0a/hkFv4KP9r9Y6BmzswfM8NuQFmrUL4N0dL5g1J21BdhFvzP6QI1tjGDitNw9+MRcnt7of1UopiVy6j68fX0xOah5DbuzHHW/MxjvAs87brit0Wh2ZCdmknc8k5UwaZ6LiOHPwPNnJudVlauZI9g7wNOZH9nHFzccVF08nHFwcqq1aeyc7rG2tr0ogDQYD2kodFaWV1RVLq7UAACAASURBVNZ2eXEFJfmlFGQVUZhtPPIyCshMyCY9PpPy4orq6509nAjt1oLQrs0J7tAM3yBvfIO98fBzu25/WJPPpPHDy8uJ/Hkf9k52TJo/mhvmj6kXYc5OyeWzBxew99dDNGvblPmf32WWSFxgzMb1y3trWfT8Uuwcbbnv49trlXEOIOl0Co8Pe5mSvBJuffVGpjw89poGaKs+3sCn879j8My+PPjF3H/VALsuUYJcg8NbjvP0mNdp1zuU1zY8jZ3D1ac/zMsoYF7Xx7GyseKNTc8Q2Pras0CBcYvFvG5PmMT9Ndx93WpVX03KSyp4ZNDzJMem/p+98w5r6vzi+PdNwt6CglucuPeudYFb60DEgXvXarXWrXXUvUedtbZq3XtXq1hH3XtUURE3svdKcs/vj5crkR8K3HsTwfbzPDyYkHvum5jke895z8DXy/qhZb8mJvGOXj8JxtKh63D9xG2UquaOoUv7KtIgxZTER8fj3t8BuHvuHwRcC8SrR28Q8iz0vfnBrkXzwqN2SXjUKoVS1YujUOkCyOOWs2YkExFiwmPx+slbBN4KwsMrT/Dw6mME3X0BQS+8e5yZuQZ5i7igiEdBlKzqjlLViqNkNXfkLeSco57Px3h69zk2TduBs7svwcLKHF49G6Ljt61lf0azwqXD17Dim/UIDgpF2yHN0W92N8XK9Z4/eIWF/Vbi/oUAtB7ohUEL/GRdtEeFRmPJ4LU4v/cyfEa3Q/+5PbL9f0xE2DJrDzZO3YESlYvix0PjZXvw/wb+E+RUAm8/w8gGk+Hmng+LzkyX9GHRaXUY4zkdj64FYtnFWbJ734a+DMfE1rPw/J9XmPPHJFRpXEGWPUNCXoRhRueFCLgWiB8PjpPVfSyr6LQ67Fp0CJum7YDGTIM+M7ui7ZBmuaK3tNgZ7Oyui7h5+i6e3n4OIoJKrULxSkVRqEwBFCzphoKl8qNgSTcUKOlm9JnTxiQ5MRlvAkPw9lkoQp6FIjgoFG+fhSDo7gu8ePDq3YWHk6sDarasirpta6B6s8o5asTihwi69wJ7lhzGn5vPQJusRe3W1dBlTHtUbFDWqOdNjE/CholbsW/5UbgUzINvfuqPum2zVnKaGXqdHr9M2IKdCw/CzT0fvt/wtaznQ0RYPmw9Dq76A90ndkLvGb6S7Fw6ch0/+iyCYz57zDo60SQXP7mZ/wQZPGw7tPoYAMCyC7Mkh03Xj/8d2+buw7hNw9G0u7yhDq8ev8HoxlOREJOIKbu+Q3WvyrLsGXL/YgCmtJsDbbIOYzd+g3pf1VTM9od4fOMp5vf5CYG3n6F+h1r4emnfHB+ejnwbhRsn7+Du+Ye4ePAqQl+Gw8zCDBUbeKBC/bKo0MADHrVL5QoRUpLE+CQ8vf0Mj64/xb2/H+DK0ZuIi4qHuaUZqjatiHJ1y8CjVkmUrlHCJNsfUokMicahVcdxYOUxRIXGoN5XNdF7hq9RhkgYcv9iABYPXI2guy/Q0KcuRqwaqFhL0Dtn/8G83ivwNigUXcd3QO8ZvpIjGIIgYMmgtTi6/iR6TvVBj8nekmw9vPoEk9rMhl6nx9zjk1GqWnFJ6/k3oKggM8YKA9gIwA2AAGAtES1ljOUBsB1AMQBBAHyIKPJjtkwpyJum7cSm6Tux8upcyclMCbGJ8HHrjy861padxKXX6/HtF5Px6tEbLDg1FcUrFZVlz5DXT4IxvO4E2DhY48dD441+xarX6bFt7j5smrYTDnntMfyn/qjfvpZRzykVIsLzB69wYf8VXDh4Ff9cfAQigpWtJSo3Lo9GPvVRt12N//bD0qHT6nDn7D+4cOAqLh+9gVeP3rz7W+EyBeBRpxQadq6HGs0qG20MqBySE5Oxe/FhbJ+7D4lxSWjkWw9+Uzob9bOhTdFix/wD2DRtJ/IWdsa4TcNRvl4ZRWwnxiXip+Eb8Mev/mg7pDmGLO4lOZlMEATM7/MT/tx0Bg061cbItYMlXTy8CXyL7xr9ADMLDWYcHI8iHv95yhmhaKcuAPkBVEv9tx2AAADlAMwDMC71/nEA5mZmy1R1yDqdjroWHkTjWsyQZeePX/3Jk3nT3fPym2hsm7uPPJk3ndp6TrYtQ2IiYqmPx3Dq6NKHXj6S3nksqzx/8JKG1RnPa5q7LqbocOXrppUgLjqe9iw9TH3LjSBP5k2ezJuG1BhDm6bvpIBrT/6rg84mMRGxdPX4Tfp95m6a0n4udXDuTZ7Mmzq79aNVIzfQoxuBObJ5RHR4DP08/ndqY9Odmqk709Kh64z+nr134SH1cB9CXqrOtGrkBkqMT1LEriAItGb0b+/ey88fSO+noNfrafu8fdTcrAt1LzZEcqOgu+cfUKe8faiNbXc6+fsZyev5nIExG4MA2A/AC8BDAPkpTbQfZnasqQT50pHr5Mm86czui5JtRIZEkV+Jr6lnya9lf9G8fhJMLS270jTv+Yp+ael0OhrTbDq1tPA1SYu709vPU2vrbtTBuTf5b1P2wkIJtCla+vvAFZrtt5Ta2vUgT+ZNw+qMp/0/HaOQF2GfenmfFSnJKXR+32Wa2mk+tTDvQp7Mm/qV/5ZWjfqVrvxxk5ISlBEhpYh4G0XLvl5HzdSdqaNLHzq4+rhRL8riYxJo6dB15Mm8qXeZb+jFw1eK2T675yJ1dOlDra27yRooQcQ7BPZwH0LNND70186/JdkIeRFG3zaYRJ7Mm36fuVvWej5HjCbI4OHp5wDsAUSl+1tkZsebSpBXfruBWll1peSkFEnHJ8Yn0bA646mVVVfZQicIAs3qvoRamHeh0FfhsmwZkhifRFPaz1VkYlVmaFO0tHbMJvJk3jTii4mKPg8lSE5Mpv0/HaPuxYaQJ/OmDnl60YJ+K+nB5Uefemn/CqLDYmj/T8dojNc0amnZlU/ssuxK41rMoDO7LuSoaMSTW0E0suFk7mVW/57uXXho1PNdP3mbOuXtQx2ce9PtM8pdNIe+CqeBlb+jdvZ+kvtWi8RFxdGwOuPpK8ee9OrxG0k2tClamtFlITU362K0Pvy5FaMIMgBbANcAdEy9nSVBBjAQwFUAV4sUKWL0Jx907zm1d+pFY5tLC1frtDqa1G42eak609k90j1sIh4WWjpkLXkyb/p1yjZZtgyJCo2mb+qOJy9VZ9q7/IhidjPi7fNQGl5/Inkyb1o8aE2O8nwSYhNox4ID5JO/P3kybxpefyKd33/Z5AMz/iONxPgkunz0Oq0auYF6uA951y5158IDOWaAiCAIdGrrOepSkI/7XDxwtVHD2K8ev6HeZb6hZhof+nXKNsXenyEvwsi30EDyLTSQXj8JlmXr9ZNgau/Uizrk6UUXDl6VZCM6LIa8XfvRkBpjPtko15yI4oIMwAzAHwBGGdyX40LWSQlJ1Kv0N9TZrR+9efpWko1diw6SJ/OmfSuOyl7P1jl7yZN508/jNisWqtbr9TS8/kRqZdVVVkg+K7x5+pZ8CgygdvZ+iu99yyEhNoF+n7mbOuTpRZ7Mm773nEY3/e/myD3MfzM6nY7O7b1EoxpNeTfFaWqn+XTj1J0c8X+VEJtAq0b9Ss00PuSTvz9dPCRNiLJCXFQcze21nDyZN41rMUOxC9vHN59Se6de1N6pl+zw9ctHr2lQ1dHkybzp5Jazkmyc3n7+3UXOfxfGHEUFGQADz7Jeku7++emSuuZlZsvYgiyGVa+fvC3peJ1WR92LDaGRDSfLXkvQ/RfU0sJX8X3jw2tPkCfzpmMbTilmMyOiQqOpj8dwau/UiwJvywuJKUVifBLtmL+fOuXtQ57Mmya1nU33LwZ86mX9RxZ4dD2QVo3cQB1d+rzbbz6w8phRJptJWduASqPIk3nTgn4rjTp85fC6P8lL1Zm+95ymWLLX68Bg6l9xJDXT+NDeZUdkfd8YDs+59de9bB8vCAKt/X4jeTJvGvnlZJOPz8yJKC3IXwAgALcB3Ez9aQXAGcBJAI9Sf+fJzJYxBfnBlcfUTN2ZFg1YJdnGmd0XyZN5yw5V63Q6+qbueOro0kfRWaqRIVHUIU8vGtVoilE9jJePXlOfsiOopWVXRfe9pKLT6ejQmuPvQtNjm8/4T4hzKUkJSXRsw6l3YzjbOfjRhklbFZ85nF2Sk1Lo5/G/UzN1Z/ItNJAuHblutHMd33iamqk706hGUxQbPxofk0CTv5rzzjuVEzKODo+hPh7DqUOeXpIn4538/Qy1tu5GXQoOUGxEbW7FqFnWcn6MKchT2s8lb9d+svappnaaT10LD5KdhHLx0FXyZN50fONpWXYMEQSB5vRcRs00PhR077lidtPzIuA1+RQYQB1d+tDN08qMl5TDo+uBNKz2uHdX3P8NTP88EASB7l14SNO85/MkMAtfmtt7OQVce/JJ1/XPpQDqX3EkeTJv2jBpq9ES0k5uOUvNND7Us9QwenQ9UBGber2efh63ma998lZZtl4HBlOnvH1oUNXRkkfCPr75lLoVHUw9Sw3LUYl9puZfJ8ixkXHU0sKXVo3cINmGIAjk7dqP5vRcJns9c3svp/ZOvSglWVqWd3oEQaCV324gT+ZNv0zcoojNjHj1+A35FhpInfL2oad3jSf6WSE+JoFWfruBmqk7k7drPzr5+5kcse/4H8oTdP8FLR26jtrYdidP5k2jm079pBnyyYnJNL/PT+TJvGl8yx+NlvB166975FtoILW08KV9K44q9v6e25vvVS8ZvEZypQkR0fl9l6mlhS/1KD5Ucia3GHXMSTkopuZfJ8jHNpwiT+YtK4z56HogeTJvOrTmuKy1JCel0FeOPWlu7+Wy7BiyceoO8mTetGL4eqOJUuircOpWdDB1dOkju4xCLpeP3SDfQgPJS8UbOeSU7Nz/MC6xkXG0Y8GBdzkC030WSg6ZykUQBDq4+ji1MO9C3YoONlpkJio0mia0nvnu+SqRCKXT6t7l0wyrM17Wnvi9Cw+pS8EB1MamO135I/tJY3q9nvqWG0F9PIbn2CZCxuZfJ8hzey8nb9d+ksUqJTmFhtQYQx2ce1P4mwhZaxFDRpeP3ZBlRyTwzjNqpvGh2X5LjSbGgiDQDx3mUmvrboqFz6SQkpzyrhNR/woj/9sn/pcSFx1PGyZvpTa2vLvWnJ7L6O2zkE+yln8uBVDPkl9Tc7MutHvJIaN8BvV6PW2dvYc8mTct7L9KsZKhM7suUDOND033WShr3WGvI6h/xZHkU2CAJHG/fPQ6tbTwpT5lR9DrQHnlWbmRf50gD6z8HY1v+aPk49eN3aRIMtdfO/9+l1ShBIIg0BivadQhTy/J+zhZOceK4evJk3nT9nn7jHKOrPDq8Rv6utZY8mTetHTI2hxV7/wfn4bIkChaM/o3amXVlVpbd6ON03Z8kvdFXFTcuyY8P3ZdbLTM8PUTfuch+yY/KJbkJpZeHlwtL/L34Mpj8lJ1phXfrJd0/K2/7lGHPL3I27Uf/XPp33Wh/a8S5JTkFGpu1oV+Hv+7pOP/uRRAXip52dlERG+fhVAb2+40vN4EWfs2hlw+doM8mTftWXpYEXsZIXqkq0Zu+GR7tBcOXqV29n7U3qmX0Wur/yP3ERwUQtN9FpIn86buxYbQ+X2XTf5e1ev1tGXWHmqm7kwDK39ntFasf/zqT62sulLXIoMo9KX8c+j1ehrbfAa1suoqeytKbD0qdX//+YOX1KP4UGpt3e2T56iYkn+VIL8IeM0zmn87Len4Wd2X0FeOPWVf9a4Yvp6am3Wh4CDlQmuzeyylDs69FUsOS8/5/Ze5Rzp03ScRY51OR79O2faujaGSr91/fH7c9L9L/SuMfFeD/inC2Ff+uElt7XpQp7x96PJR45RGPbz6+N3FvRKf/fA3EeTt2o865OkluUcDER8w0tmtn6w2oOFvIqiNTXda0G+l5HXkNrIjyKosjYTKwVz94yYAoGApt2wfGx0Wg7O7LsLLryGsbKWP34sOi8HRn0+iaY8GcC2aV7IdQ5ISknHh4FXU/6qm5DFrHyPkRRgW9F2JUtXcMXhRL8nzVaUSExGLyW3nYPOMXWjeuzEWn52h2Gv3H58nlRuVx6rr8zBwfk/cPHUX/cqPxO7Fh6DX6U22hhrNKuOnK3OQJ78TJrSahfUTtih+/tLVS2D0+qG4fyEAa77bKNteHjcnLLswE3nyO2F8i5k48vNJSXbsnGyx9PxMOOa1x1iv6Ti15ayktTTt3gCntpxFTESspHV81mRVuZX4UdpDjo9JoA55etHoJj9I8vD2/3SMPJk3Bd55Jmsd2+fx0YpB91/IsmPIsq/5pBhjNeb4oeM8amvXg14EGH9kY3riouNpYOXvqIV5Fzq4+vh/5Uz/kW2Cg0JoYptZ7waeSG2VK5WkhCRaNGAVeTJvmt3DOAmXq0b9Sp7Mm3YtOqiIvbioOBrf8kfyZN7094Erku1Eh8e8G9AhJfv8ya0g8mTeNL/PT6TX6yWvI7eAf0vIeseCA7LKnab7LKRuRQfLXsfoplNpYOXvZNsREfeO5dRVf4zXT4LJS9XZqDXNHyIpIYnGNp9Bzc26SCqj+JwRhGQSdCEkaB+TkHI/9ede6s99ErTPSNBHkCAYZwsjtyEIAv25+Qy1c/Cjdg5+dPy30ya/uNv84y7yZN609vuNip9bm6J9l0y27Ot1imRfa1O01KfsCOpV+htZ4fDE+CTqUnAAfVN3vKTnLZZl/ei7SLGcm5xKdgRZ86k9dKmkJGuxe/FBVGlcHmVrl8r28USEu2f/QdWmFWWtIykhGffOPUC7r1vIsiMSGxmHhf1Womi5Qug7q5siNg0hIvw2dTtUahXaDm2uuP2PERcVj8nt5uDe+YcY9fMQ1GhW2aTn/5QQ6QD9a0D/FNAHg/SvAf2L1J83gBANIDnr9mABqFwAdUFAXQBQFwRT53/3b6gLgDEL4z2hHABjDE27N0C5eqUxr9cKzOu9Auf2XsKodYPh4GJvkjV0m9ARYS/DsWPBAbx6EoyxG7+BlY2lIrY1ZhpM2fUd1o/7HTsXHsTrJ8GYsvM7WdtrGjMNBs33w6S2c3Bw1XF0HNFakh1Lawv0nu6Lhf1X4cyui2jYuW62jh8wtwccXOywbuxmxITHYureMYq9brmZXCvI147fQvjrSIxcM0jS8WGvIhARHAUPCWJuyKNrgdCm6FClcQVZdkT2Lj2CiDdRmHFgHMwtzRWxaciJjX/h5Oaz6D6pE1wK5FHc/ofQaXWY5r0ADy49wsSt36KhTz2TndvUEKUA2jtAyhWQ9hagCwL0zwFoDR6lBtT5AXVhwOJLQOUIxuwAlQPA7ABmDj7XBam/BYDiASEOoDiQEAsIoYD+FZByCRDegiC8vw5VXkBTHNCUBTMrB2jKAxp3MJb7Pvbz5gE1awKNG6fd5+8PXLkCjBnjigX+U7F36RH8MnErvqkzAT8eGo8iHgWNvi7GGIavHIBCpQtg7fcbMa3TAkzfPxbmFsrkfajVagyc3xOFyhTEkkFrsGnaTgyc31OWzVqtqqFq04r4bcp2eNQqiXJ1y0iy49WrIXYuPIAtM3ejbtvq2f6+8vn+KzjktceCviuxe9Eh9JjsLWkdnxVZdaWV+FEyZL1k8Bpqa9dDctjlpv9d8mTedO3ELVnrOLj6OHkyb0UyhHVaHfkWGiirpvpjvH4STG3tetDIhpNN2ltWEARaPHC1rGz4nI6gfUJC7ArSh/cg/ZsKpH9Tiv+ENCN9xBDSx8wjIX4nCcmXSdC9VDzsLAgp3G7yZRIS9pIQ+xPpo8aTPsz7/fUEVyJ9xGAS4reSoJM2jP5TcOoUkYsL/53RbZH7FwPI27UffeXYU/Y4wuxydP1J8mTeNKPLQqN8vhb0/YlamHehV4/l/78FB4VQz1LDqI1Nd1nZ4v7bzr0bgSq1UmVS29nU0aVPjpj8ZQzwue8hC4JA3YoOph86zpNsQxxjKFdIfxrxC7Wx6a5IcoJYhnRu7yXZttIjzlH+yrGnyctF9i4/Qp7Mm9ZPkFYrnhMRBIGElAdc+ELbpQpeadKHtid99EwSEo+ToA83yrnnzv1/ITp1it+f8Vq1JKQEkJCwj/RRP5D+baM0gQ5tS/qY+VzIc/jetCjCkydnLMYiwUEh1L/iSPJSdaZN03eadF95x/z95Mm8afmwnxW3HfoqnNrYdqcJrWcqIvgRwZE0uNr31NysC53ff1myneO/8elVw+tNoOTE5Gwff+/vB4omr+U0PntBDn0VTp7Mm/YuOyLZxobJW6mZurOsN7YgCDSkxhgaUmOMZBuGLOy/ito79VKsdZ4hV4/fJE/mTYfX/am47Y8R/iaC2th2p/GtZn4WGZWCkExCwl7Sh3ZIE7WwziTEbTCZx5lVb/FD8IuJABJi15I+rBvp35RN9Z6rkj5iGAnxu0jQxxrvCchg8mT+rTU5k5HlCXGJNNtvKZ9x3PcnRXpEZ5VVI/kgmAMrjylue8/Sw+/6XitRoxwXFUeDqo6mroUHyeqCdnr7efJk3rRx2g5Jxw+rPY6G1hz7WVZcfPaCfPnodfJk3pIGaIssHriavF37yVrHtRO3FGlLJ9Kr9Dc0qd1sRWylZ0r7ueSdr69JMxp1Wh1NbDOLWph3+STlVUoi6MJIiF1O+rf1UkPRzUmI20SCzrTlNiJZ9RazgqCPISHxGOmjJpD+7Rep4lyF9FE/kJDyQLlFyyS7z1kQBNoweSt5Mm+a0HomJcQlmmSdKckp70qyNkzaqrjI7FzIq0vGt5pJifHyW4nePH1Xkda5P/ouopaWXSWF1HctOmi01+tT89kLslj3GxMh/Sp+Svu51L/iSFnrGOM1jboUHKCIyEUER5In86Yd8/fLtpWe0Jdh1EzdWXJ7Uams/X6j0TwFUyHoY0kfs5D0bypyoQrvR0LSGRKET+/tZ9VbzA6CIJCQfIP0kWNI/6Z8agTAh4SEPZ80pC0nKnBw9fF3IVVT7VPqtDpa2J/XKa8bu0lx+4fX/Uleqs40qa0yF/DjW82k9k69ZL0+oa/CqZ29H03tND/bx+r1+nev144FBySvISeSHUHOlZ263gS+hb2zHeycbCUdr9fr8eDyYxSWkYUZGRKNGyfvokXfJopkVAbdewEAKFnNXbat9Fw7cRuCQGjStb7itj/E/YsB2LnwIFoP8ETbIaYtr1ICIh0oYSsozAuIXw1YeoG5HIUqz89gFg3A2Kf96Pj7A6tWAZMn89/+/srYZYyBmVeBynEuWL6zYHZjASEGFD0WFOoFit8IokRlTpYNrlwBduxIy7Ju3JjfvnIl82PbDPLCxG0j8eDSI3zbYDJCXoQZd7EA1Bo1Rq4dhFb9m2LH/AO49dc9Re236t8UfWd1w8VD13D7zH3Z9rqO64C4qHjsX3FMsg2XAnnQsl8TXDp0DYlx2XuPqFQqfLtmIOp3qIUNE7fg6d3nkteRm8mVghz2KgIuhaSX7Nw9+wARbyLR0Dt7tXOGXDhwFUSELzrWlmzDkJcPXwMACpUuoIg9Q27634WDix2Kli+suO2MSEnWYmG/lXAplAcD5vuZ5JxKQsl/g8LagmJ+ANTFwZx3QeW4EExT4pOua948Lrz+/oCPT5pAdezIbyslyiJM5QRm0w/M5QiY01pAnR8U+yMotDEobhVIiFP2hB9hzJj3S54AfnvMmKwd/6V3Xfx4aDyCA0PwTZ0JeHj1ifKLTAdjDIMX90b+Eq5Y0OcnJMQqeyHT/puWyOPmiI1Td8i2VeELD9RvXxPrJ2zBoTUnJNup07YGtCk6XDh4LdvHqlQqfLt6IGwcrDGv1wrotDrJ68it5F5BLihdkM/tuQQLK3PUal1Nso3LR67BrVhelKhcTLINQ149DoaFlTmcCzgpYs+Qu2f/QaWG5aBSmea/+9Dq43j+zyuMXDMINvbWJjmnEhDpIMQuAEX2BqAFc/wJLM9mMLNKn3ppAHgdro8PsG0bF2OA3/b1zZq3KAq6If7+/P6PwRgDs2gElfNWsDxbALOKoLjFoLBmoITtIDJdL2k51GxRFUvO/wgzcw3GNJ2G10+CjX5OKxtLjPl1GEKeh2HjD9sVtW1pbYEuY9vj1ul7uHHqjixbjDFM2DoStVtXw9IhayV73RW+8ECh0vmx/Ouf8TLgdbaPd8zrgOGrBuLxjac4/ttfktaQm8mVghwTHiurE8/9iwHwqF1KVmeYgKuBKF/fQ7GhDE/vPEP+4q6Ki2ZMeCyCg0JRurppvDsiwqE1J1CubmnUbFHVJOdUAtKHgyL7AvFrAasuYC6HwCy9TD5042OIYdo9e/7fS86KtygKuijKoo2aNbO+BmZeAyqndWB5dgLqIqCYyaDw9qDkc9KfmAlxr1AEC09Pg0qtwsyuS6BN0WZ+kEzK1yuD5n2aYPeSwzi6Xtpghw/Rsl8TuBXLix+7LMaz+y9k2TK3MMOk7aPg5p4PiweuRkpSSrZtaMw0mHV0ItQaFSa1nSNpgMQXHWqhQAlXnNtzMdvH5nZypSDHRcbD1tFG0rEpSSkIvBUEj1olJZ8/MiQaoS/DUapacck2DAl7FY6bp+6ifvtaitgz5PDaPwEANVuaRhzvnnuAFw9eodUAT5OcTwlIexsU3gFIuQFmPwcqhxlgzLht/KR6q40bA0OGADNm8N/pw7iZHbtjBxfhKVPeF/Tswswrg+XZCua4HKAEUGRfCJGDQPo32TdmYlyL5sXoX4Yi4OoTrBr5G89uNTLDVvRDzRZVsHjgGpzYqJznZ2VrhTnHJ0NjpsbYZjPw5ulbWfYsrS3w7eqBeBnwBltm7pFkI7+7K6buHYOQZ6GY0XlhtkPPjDHU+6oWbpy8g/joeElryK3kOkEWBAEJsYmwcZAWCn3+zyvotHqUkuExPktNwHKvVFSyDUMuHLjKk666N1DEnggR4ci6E6jmWVGx0HpmnN5+HpY2FrmmNSYlXwJF9AKYBsx5O5h1R0XsZia4UrzVefOARYveT+Zq0wYYlK577MeETLnrXQAAIABJREFUPSNBlxXKtmwO5nIUzG4MkHIJFNYOlHT84wfmAOq3r4XO37XFwVV/4JeJW41+PnMLM0zd8z2qNKmAxYPW4NVj5S5cCpbMjznHJyMxLglLh6yTba+6V2U08q2P3UsOITkx6/3VDalQ3wPDVw3ETf97+GvHhWwfX6dtdei0etz6S37CWm4i1wmyNpmHmCyspPV5DnnOMyzd3PNJXsM7G8WUmd97+8x9uBTMg8JllE3oenQ9EMFBoWjcVVmh/xg3/e+iYoOysLTO+YMNKPkMKLI/oHLj3p5ZOcVsZya42fVW580DgoKA0aOB8eOB6dOBzp2Bw4eB33/PurAPGgQsXfp+drZGA7RtKz2UzZg5mE1/MOd9gLowKGoYhOgpnyQbOzsMmOeH1gM8sW3OXvw+c7fRz2duaY4xvw2DmYUGy77+WVHP3L1CEfT8wQfXjt/ClWM3ZNtr2bcJkuKTce34bck2mvVqiAIl3XBg1R/ZPrZ0jRIwM9fg0JoT0OtzR46CImS1PkqJHyXqkGMiYsmTedPuxYckHS92uol4GyV5DZum7yRP5q1I/bEgCORTYADN6r5Etq30/DxuMzXT+FB0WIzitjMi8HZQrqkjFJLOkP5NOdKHtjNai8usNLLIai3xqVNENjZEQ4YQWVsTeXkRMcZvDxxI5OBA1LTpx2tzT50isrfnjx04kGjhwrTbCxdmzUZmCEIy6WPmprblbEmC9rE0QyZCr9e/6+h1YNUfJjmn2ErWf9s5Re2mJKdQz5JfU/8KI2V3xdOmaKlDnl40p+cyWXbEhh+Pbz7N9rHivPpVo36VtYZPDT7nOmSdll8tqc3Uko6PDo0BYwyOeaUnhUWFRMPW0UaR+uPosBhEvIlEmRrS97Q/xO2z/8CjdinYO9spbjsjDq05AXNLMzTv08gk55MKCVGg6LGApjhYno1gKuNMvcpsv/dDtcStWvHQtGEo+cYNoHx5YMsWwN4eOHEC8PQEVq7kWdYpKcDJk/w8V668H4IWQ93z5wP79gF793Kvetw4QK8HunQBHj4E4uK4jZYt+Vr9/blHPWhQ5uFrEcbMobIbA+a0ARAiQOGdQUkK12MpiEqlwve/fI3qzSrj57GbERkSbfRzth3SDEXLFcLuJYcVtWtmboZuEzsh6N4LPLoWKMuWxkyDWq2q4eLBa4gIjpRsp2kPHp27cuxmto9tN7Q52g5pjj1LDuPB5UeS15CbyHWCTAIfMadSS1t6UnwSLG0sZGXPytnDTs+bwBAAQP4SrorYE9Hr9Qi8FYTS1ZVJPMuMlGQt/LeeQ/0OtWCfxzQXAFKhmB8BIQrMYR6YysFo5/lY8w5/fx4mFsPPYvh60SJApeKh6aAgft/Qofx29epAUhIQHAxUrAj8+SfQsyfQvj1gbg6UKMGP12jSwuVt2gArVvDjPT250N64ASQnA1otQAS4ugKbN3Nx1mj4v4cO5RcGv/0GbN/Ow9eisBuK84f2mplFfTDnPYC6KChqMChutUmSp6Sg1qjx9dI+SEpIxqZpO41/PrUaLfo2wYNLjxB4+5mituu2rQGViuHCgauybXUZ8xV0KTpM816IlGRp2eiOeR1QoISrZEHtN7sbnNwcsezrn/8VoetcJ8iCwD/UUgU1KT4Zljby9jcTYhJgbS99SLghbwJ5VmT+4soK8uvHwUiKT0bJqsp3/sqIK0dvIDYyHl49G5nkfFKh5LNA0gHAZjCYWVmjncewLMlQcEUB27aN3z97dppQ16nDxfu774AFC4DVq4H8+bmYe3oCGzdyT9jPD3jzBihZEti0iYvr3r1cROPjgbFjudC3acP3mF+8AGrX5ufq2ZPbZ4yfS6vlHjwALFzIBZkxfs6UFP5Ttixfr0bDhV2jSfOeP7bXzNQFwJy3AJatQXGLeIlUDhXlwmUKovVALxxee0J2+VBW8PT7EraONpjjt0xSedGHsHe2Q/n6Hjiz6wLmzNZLStYTca9YFKN/GYr7fz/Er5OkJ76VrVMa9849kCTqNvbWGLywFx5dC8TJzWclryG3kOsEWZ3qGQt6IZNHGg9tig5mCg0gj43g3Y4cZITQM+LtM554VrCkm6J2P8SdM/dhbmmGqk0qmOR8UiBK4d6xujCY7WCjnutjrR5r1uS1xFWr8vtateJh4rNngUOH+GOrVgWKFgXu3AHy5eMh6uRkLtR9+gAuLsCjR1w8BYOPgkYD6HQ8PJ2QkHb/nTtcWDdt4rdLlAAcHblnDaTZKFw47d+CwC8ELl0Cfv0VmDgRGDyYX0i0bs095/HjP96QhDErMIeFgM0gIHEHKG5hjhVlvynesHOywfTOCxXvqpUex7wOGP/7CDy98xy/Tt6mqO3237TEi4evEX7HX3bdeUOfemjWuxH2LT+K0JfhktbTuOsXiAqNwfpxv0s6vlGXeihYKj9Obc0dte5yyH2CnLp3LLWtmsZcA12KvJZsJBBUKmUaRiSmfvCt7ZSte414w/d9nNwcFbX7If659AilqheHxkxjkvNJIv43QP8UzG4SGJOWpZ9VPtbq0TDD2t+fh42Tk4F27dL2btu0AZ49A9zdgZAQLsA6HbBzJ/9bUBC3WagQoFYDXl7ce507lx8THMzF2iI1GJSUxAVfDCwxxj3l6dO5Z6zX89uPDCKLKhUPi5cqxT1lrZYLc1ISkJjI1zt7duZf8IwxMNtRgJUvEL8WFDc/R4qyk6sjJm0fhZcBbzCv9woIgnEv+mu1rIo2g7ywa9EhRfpRi3zpXRet+jfFzW1rMP37x7Lrzv2mdAYRYYvETPTaraqh/bCW2LP0MP7en4Xm4+lgjKF++1q4eeouYiNN1671U5DrBNnMnH/hSxVVMwszpCTJ786j1BdKUgKv8zO3VFYgolKTU5xcjS/IRITHN54aJTFNKUhIAMWvBCyagllK6IShMIYJX2o1D0Nv3sxDym3acO+2bVsgNpYLX1gYF9+LF7kgqtVcSMPD+W29nnvVjx8DT5/ycxABFSrw48XtNyIevg4MBCwtedj6yBF+vyEqFfeQiYCAAC7gGg0X4uRkoEEDvt7x47P2Bc8YA7OfClh3A+J/BhI2KPp6KkWVxhUwcJ4fzu+9rGgDjw8xcL4f8hfPh+UKl0ENWdIHxSoUxtkVCzBooCCpkYyIW7F8aNG3CY79ckqyIA6Y74dS1Ytj8cDVkmqb67evCb1Oj+snpJdh5QZynSCbp9YfJydI23dxyGuP5MSUbE8jeW8NlsqIOsATSgDlBF5Em8wvWMwtlQmtf4yY8FikJGnhqlBdtlFIPgVQPJhNX5Od8kMNN8Qs6qVLAWtrLnRVqvD94k2beCh5yBDunZYsCbi5AQULAi9fAk5OXCgTEoBjx7gYA1xAr1/ne79lywIODjwJ7No14MABLuAit24Bs2YBxYpxOydPcu+7ZEn+uPRhcACoVSvNhpkZ97Z79Hh/DzwzGFOB2f0AWHiBYheAUrKfeWsKOn7bGqWquWPzjF1GH3BgZWuFrhN4ZrSSXrKltQX6z+6Ohy/csGK5XvZUMK+eDaHT6nH1j1uSjje3MMOAuT0QFRoD/63ns318yWrFoVKr8ORWkKTz5xZynSCr1WpYWltI3uPJkxrCjXwrvbzB0sYSSfHSOtikR/T4tRKzGD+E+EUiCr4xEcPjzvmVH4yhFJR0AFC5AWbVTXZOsTnIoEHvT2kqVoyHlwsU4HvGP/zAb4eHc3EODeVNP2bM4Pu369cDr15xoYyM5MJIxPeVBYGHsw0F9NEjHqKsZdCJlYgLqYUFF/GFC3mpk4i5OQ9786ro95+HWs33oBs35olnKhW3s2NH5nvI6WGMgTnMBtRuoKgRIEF6SY2xYIyh59QuCH4aYpIBB4261IOtow0OSmig8THiLKvinno0GhXYgGnT6L1tkuxSplZJOLjY4dLh7E9xEqnSuAKKVSiMvcuOZNsBMbcwQ+EyBT77sYy5TpABwNreCvHRCZk/MANcCjkDAIKDQqWf3076+dNjacv3jhNikxSxlx5T7NXFpCam2Zmo3jm7EOmB5L8By2aKzzH+mBcMcNHavp0nQbVty0cl6vWAlRXPlJ45E/j+ey62np58D1irBZo25fvNKlVaOZImdXs+ffVHZDpN0+m4zVWrAJvUlu+CwOuVZ83iAvv6dZrwigK/ahV/XL50TewEge8hnz4N3L8P9O3L1+vllbU95PQwlT2Y41JACAHFrcjewSaidutqKFnVXXGRzAhLaws07d4Af++/qmjG9bVrKkwccg/xASfw4uHrbM2QTo9arUZVz0q4LaOVJWMM7YY0R+DtZ3j+z8tsH1+0fGG8eJD9CVK5iVwpyA557REdFiPpWPeKRQAAQXekX2k5uTkiJjxWkUkxzgV4U4rw1xGybRlibcfLspTy5LOCUoluiqN/ASAFTKNca0wRwxaZYp2ujw8XVx8fXvNbowbfe42P5783b+beb40aPFwMcNE7fhxYsoTfJuLCK4qvTseF2tY2g6eX+hjDSkDRY45P7c2v0fDSpdGj+W3DoWJ6Pbct2gjhpfGoXj1tLeL5a9fmwl2sGHDwoPQveGZWEbDqBCRsA+mUrcVVAsYYmnT9Ao9vPJU9sCEr1GheBdpkLf65qFwDjDFjgP4jiwEArv/J916zM0M6PSUqF0Poy3DERUkf+FCjeRUAwE3/e9k+1q1oXoQ8D0NivHGcl5xArhRkx3wOiHwbJelYp3wOcHJ1wJPbQZLPr0TYW0Sc6xz6QlpJwYcQG5co5clnhZyYOQsA0D3mvzXKj6A0zJi+ezet1/SoUfz36NHAuXPcI7aw4HvEnTrx7Gaxj7RYeqTV8pphQ0qXfv923Edyaj708puZAZUrpzUC0eu5XbMM0gtEL7xdO57lbXj+AgV4mBwABgxIe/5Sv+CZ7TCAWYKix+bI9079Djzmf37vZaOfq2IDD6hUDDf97ypqN39xV+Qv7vpOkOXgXqEwACBIRtjYzT0f8hVxwa3T2X+e9drXgjZZi83Td0k+f04nVwqyS8E8CHsp3aP0qF0Kt0/fk/wl4FqMx/TePJF/5SzWCT//55VsW4Y45uMdqMT9XWNimTpXOtFIYXfZCKkXO2plm6+IiBnTmzalJTpNmcJF19ycZyV7e3NBtrYGdu/mHqe5Of8tZk1nREAA/20poypOp+PJXaLY2tkBDx7w3+nRarkI//03v6CIiEjzlMVSK2trntEtF6Z2A7MbC2ivA8k5r71mgRJuKOxRUBExywwbBxsUq1gED688Vtx2hS88EHD1iWw7RcoWAgA8lxE2ZoyhbJ1SeHwjKNvHlq9XBl69GmLf8iOSHbKcTq4U5Pzurgh9GS55NFjtVtUQHBSKZ/ezv48BAMXK8zdm0D35HX3sne3g5p4PD68q+0EskCr0rx4HK2o3I5zz84hBuAnEXxpixlPGb3ep4wcNH7twIS9dOnoUKFKEh6Tz5uUhYLGkqUABfn+FClyAO3dOs5FZV8CkpPdD0lnFxibNc9alJgzHxvJM7oiI9x8nEhDAG5VMnsxFuVu3tL8xxi9ADMP0cl47WHXkE6LiVuRIL7leuxq4dvwWXj4y/pznMjVK4u65B4iJiFXUbtFyhRH+OlJWqBkA8hV1Qb4iLji89oSs/6tCpQvgbVCIpM5d3SZ0gi5Fh92LD0k+f04mU0FmjP3CGAthjN01uG8qY+wVY+xm6k8r4y7zfUSxEftAZ5farasBgKQidYDv+9o62uCpQn1oy9QsgQeXHin6hZS/OPfiXwUY/4vEydURjDGEv1J2H1w5REHOWNGkzCYWER87YwYX486d+b4xY7wmuE8fHq7WaIAnT4AJE4A5c3hm9ZYt/y+yRYpIf5YZER+fsXcdZeBgqFT8cfnz89vOztyL79WLe/liSNrdnYv7n3+mZVfLee0AgDENmM0QQHcXSPlb+hM1Ep1GtoHGXIOd8/cb/VwdhrdEYlwS9q84pqjdouW4AyHVARFRq9XoOdUHAVef4MJB6b2yC5cpCEEgvHmSfWehUKn8+NKnHg6s/ENW6WpOJSse8q8AWmRw/2IiqpL6c0TZZX2c4pWLAoDkiSYuBZ3hUaskLh+9Lul4xhjK1i2NW39lPzEhI6p7VUboi3A8ui5vQoshFlYWKFquEO5ffJj5g2Wi1qhRqEwBBN7Jeck5AAAVz6yHkHFmfXZnExsitsgU94xXr+YJXSK//MKTqfr35+HgfPn4MIgJE7hXnP4a7PlHtuekXq8ZhsRV6T7xYs1xoUI867tdO/74GTN4V7ACBfg6vby4Zz1kCM+49vf//65jkrtBWbUDmDUo6YS0J2hEnFwd0dCnHs7suqhIEufHcK9YFNU8K+L4b6eVvThPHVwj9s2Xg2ePL+FcwAlH15+UbMO1qAsAIEziBXzrAZ5IjEvC9T/vSF5DTiVTQSaiMwBylOtTpGxBWNla4p9L0jMS3dzzISpEWqY2ANTwqoyXAW8Q8lx6+ZRI/Q61oNao8dd2ZT2ESl+Ww73zD6HXGX9Kiketkop7+YqhTnU79R/eYshsVOKHMGyRqdPxPeQTJ/hvcf84Tx7uDatUXPQEgd9fsCA/jjHelENp7O3T7KtUPIlLzL429Mzr1eNlUHXqAH/9xb1inY4La1wcX9uJE/x1WbmS99M2DLFLfe1EGDMHzOsCyX/lyPfPl951ERcVbxIBaNr9SwQ/DcH9CwGK2SxQwhUOLnY4u/uibFtqjRqePb7E5SM3pCfWpibFRgRLO77CFx6wtrfCpcPSHKqcjJw95GGMsdupIW2TdoRQq9U8MUuGh2rvbIfoUOmCXL1ZJQDA+X3Swt7vrSWPHao2rYCLMoruM6Jyo/JIjEvC3XMPFLWbER61SiHybTReBuTAOkFRkHUfvoD72KjEjzFvXlrjj5o1edjaz4/XHhPxUHVQEC93GjSIC11cXFotMMAf9/gxT/rKo9BoZrUaiEl9e7duzcPkondsbp7mbRPxDl/9+/MaZSLeMEQMU4eG8osIw9elalWgUaO0c0l97QxhFl8CwquPXjR9Kqp5VYK1vRUuygjTZpUvOtaGuaUZzu66oJhNM3MztBrgiQsHriqS5+HVqxEEvYCzuy9JOl6sUgl5HibpeI2ZBtW9KuHaCWldw3IyUgV5FYASAKoAeANg4YceyBgbyBi7yhi7Ghoq35sUqfdVTTy7/1JyYpVLQWfERcW/6yWdXYqWKwyP2qVwcNUfijShL1a+CIKfhijqIdRqXQ3W9lY4+ov08FJWqfdVDTDGJLXFMzZMZQuYVQQlZ9x16WOjEg3JKIFJo+FjEZs3T5tvvGcPD+sakpICnDmTdjujcLVO9/6EJjkYerBhYcC0afw+xvhaGEsrezIMafv68vX37Mmbm6jV/EcMTXfowEPu4h5xVl+7TNGkhgj0OW/bw9zCDGVqlkSAxC2y7GBtZ4UyNUvinoIeMgA06lIfRIRLh+Rf9BfxKIi8hZxx56y0JiFWtlYoWdUdZ3ZdkPx9V6ZmKYQ8D1M8Ae5TI0mQiegtEemJSACwDkCtjzx2LRHVIKIaefMq1+u4Yee6UKkY/CWO5HIpxF2RMIkjxQCgQ+qYs2vH5V+puRbNi5QkLaJkeO3psbKxRNPuX+LMzotGf+O6FHRG5cblcfL3Mzky7MgsmmD+klo49ef7teP+/nxU4YdGJQJpQmyYwCTOA549m3fbAnhi1LhxXFjbtUur+23alIvavXs8POyWbiKmKIZ6fVpvaiW5eJHvXet0XIgZ4+vSavkFhaUl8PPPXGx9fXmG9aZNQLlyvPnHvn3vT6by9U17rT42ZjJbqHmNa070kAGgVFV3PL39zOi9rQGgXN3SeHw9UNGuXe4Vi8C1aF5cOCTfy2eMofwXHrhz9h/Jn/VW/Zsi8NYzyeVYYh5R4K2cdwEnB0mCzBjLb3CzAwBlq9mzgJOrI6o3r4LDa09ISud3LcovDuQkOjTwrgPnAk7YveSwZBsibu6pWdEKl1e06t8U2mQtzkkML2WHZj0b4fWTt7iqwAWK4lg0Q40qt9HF1/z/MoK///7DoxKBNCEG0rxEcR6wmNA1bhz/u1jHe/w4D0Hb2vI5wv36cY/077/5aERD9Hpe22sMRC/48eO0CU5qddr9YvmV2IlrwwZeouXnl5ZgZrhHPGIEsGZNmv2PjZnMFir+/ie9clE0JSlWoQi0KTpFEqMyo0zNktBp9Yr2JmCMoWaLKrh9+r4iEb2ytUsh/HWk5H3gJt2+gMZMjTO7pO1ri01KlO7f8KnJStnTVgAXAJRhjL1kjPUDMI8xdocxdhtAYwAjjbzODOkzwxcx4XHYOmtPto8tlvof+lRGC00zczPUalkNT24GSbYhUrwS3+dU+oqvRJVisLa3wmMF1pgZjXzrwcrW0iR7bdmFmZVC4ya22LbmW/j4CNnKCE4/vzglhe8J16jB/+7vDyxbxsubGOODGBwd+b+nTOHHr1nD92kNMeyUlVGoWk4zEIAndekMHDpB4GsSQ9d+fvw+saGJh0favzduTHvOixbJ3yPOHJ5lpnSvcaVwLsDTZJTozpcZ+YunZkU/lVbW+SFKVnVHQmwi3j6Tf9FT2INnJEp1IGwcbOBRu5Skjl0AkCe/EzRmaoS+kLYPnVPJSpZ1VyLKT0RmRFSIiNYTkR8RVSSiSkTUjoiMX+yaAaWqFYdXr4bYu+wIQrMZerbPYwfnAk6yS3V4tna07P6qeQu7wM7JBk9uPpVlJz2MMRSvVBSBMlqFZhUzczN41C6Fu+eNn0QmBWY7Ao3r+2Nw30vZzgg29BIZ4+J09SrfN27blodyK1fmv1Uq7gWXL8/3VWvX5iJ2KF0vA632/8uQDJETvhaTutJHFMVpTkTcexdbem7bxi8kqlXjiWn+/vw5jx/Pn6vsPeJMETe9c6YgO7nyzneREj3C7CCOMQ1WWJCLVy4GQJmL/kKleZD0pYw+B1UaV8Cja4GSIpwqlQouhZzxVoEql5xEznz3Z4O2g5tBm6KTtBfBM7Xvy9rzFK8Un8ns2iXWNt84dVfxPdgyNUsi4Gqg5AS27FCtaUUE3nqG4CBlv0yUgJl5wP/KKKz+uQwmTYzOlrfn7//+/OLGjYG9e7m3mZLCRffSJS5uVla8VOjaNS6q9+4BzZrxPtVFinDvWUSB6GGGfKzzl0bD94lXrQK6d+e3BYF70927vy+6Oh2/kJC9R5wZYntT5qCwYWWwSh3WkmiCYS12TrYwM9cgOlRZb1wUUSWEPl/h1FpiGTk4ZeuUhiCQ5N7YefI7mSRiYUpyvSCL4R0pYZhaLash9EW4rGbppaq5AwAeXZfv2dZpXR1vAt/i+QNl90XESTJyRqdllYY+9QAAf+1QrmxDKfz9Ad++A7Ft7WhMGz0zy96euNfs68vFSUxyAoAjR4Avv+R1up6ePMysVgNdu/KQNBEfuajTceFr2JA32MiMj3nOHyIrIW6Viq/p+HHe7GP1at6hy8yM1xfrdO+LrmJ7xJmhS81g1hRX2LAyMLFw20QJi1Z2VoqPZLV1tIGZhZki/e3VGjXsne0QFSJdEAt7FAAgvTe2vbMtYiM+Mm0lF5LrBdne2Q4WVuZ4K2G+ca1WvEP+uT3Sp7m4Fs0Le2c7PLgsf2xanbZ8U/KsxESHD1GxgQfMLc1Msrebv7grPGqVxJ+b/lIkeURJeEawCo29ygBJB9Co/q0seXtiJvGaNVyM0nuJt27xsO7583zPeMSItJ7VKhV/7OTJXKg3bXrfQ/4QgsCHOojNPbJCZiFutTrNIy9Xjl9EVKjAE746d+bJaaLQGkV0P4ZYI55DBVnEVBUE1naWSIhVdlIbYwx53BwRodBgBoe89oiS4cXnK+ICMwszvHwozQGxy2OLmPD/yp5yFIwxFKtQGE9uBWX7WJcCeVCrVVXsXX4ECbHS+qIyxlDNqxIuHbomuyNW3kLOqNG8MvYtP6Jon1YLKwt82bkuTmz6C7GRxr+ibP9NKwTde5HjapJFb4/ZDgbUBUBR36BRw4hMhedDXqKYfS3urx46xH8vXcoF+OFDLpJic5Dk1GhneDgvf0o//lClAgoXTrt97RoPhStB6dI8jG1mxn9u3AAqVuT7xl5eafvGnwpK/hNQuwMq40zkkov4ubF1tMnkkcrApIRIsoCVraViM9Jt7K2QGCfdi1er1XAu4CT5AsHGzhpJMs6fE8n1ggwApWuUxKNrgZI8Mr8pnREbEYd9y49KPn/DznURHRaLW6fl97b2m9IZ0WGxOLjquGxbhniPaouk+GQcXvunonYzonHX+ihZ1R0bJm1VtJZSKZjKAcxxBSBEgqJGgkjahVT6GlwgrU53+nSerWxtzfeYN23i+8seHkDZsrz8Sa3mSVTv1sV4Ypg4JtHCIm3+cEazi8X7M/ruTj9aMSCAC2/z5vx2yZJpYnzjBk/eMk6yVuaQPgxIuQxYtkwLDecwxL1KMbnL2Oi0Oqg1H5jJKQONuQa6FGVqqS2sLZCcKO/z7eAivWOihbU5khJy3veLHD4LQS5buxQSYhPx+Eb293E9apVC7dbVsH3ePsk1hjVbVIG1nRUOrJQ/paVc3TKo5lUJW2fvVaRPtkiJysVQzasSdszfjxAjlwqoVCoMmNsDb5+F4peJW416Lqkws3Jg9lOBlAug6HGSRDm953zlCt9fFut016zhoWsxwUqt5r2gGzTg+716PfeibWy4qOr13FMVS5UMu31ptbzZSHrx1Wp5EpmhsJcuzdtztmuX1nSEMeDyZT4sYuZM3rbTzy9NjMXe1Yona2WFxK0ABDBLkw6NyxZi8lKe/KbpEqxL0UFjBEFWa1SKNTcxtzRDikxBtnexR0y4tKidhZUFtMla6DObXZqL+CwEuXabajAz1+DPTWcyf3AGDFveDyqVCj/6LpY00cXCygI+Y77C+X1XcP2k/Ab0w3/qD0EvYGa3pYp2BvpmeT/oUnSY6bvY6B0Eau10AAAgAElEQVSHqnlWwldft8DuxYdwastZo54rOxi2v2TWncBsv4X/yWDMm3Fc9v5geoH29+eesq0tD2FrNLypCMCTwZo14929ypThoipOVnJy4kJKxP8NAC4uwIEDvA+16EGbm/PfKSlc2MWuW46OPEHrzz+5vWrV+F50gwa8mcm0abwDl1hrPHs2D7+bfN8YAOlfg+LWARYtwMxKm/bk2eDJzSBY2Vq+a+BjTARBQHRYLBzyZiOBIIskJ6bAwspcMXtyIxrmFtI9do05/yDodTkrV0UOn4Ug2+exQ92vauLUlrOSBNWtWD6MWDUAAVef4PKRG5LW0Pm7tnBzz4eVI36RPaatYMn8GLFqAO7//VDRfdhCpQtg1LrBuH8hABtM4LkOXtQLFb7wwJLBa02yd50V0s/vPX1lKHwHrUGN8ltAcYuyJMoZ9bT29+f3G7JtGxfVffu4MO/bl5ak27gxz8728+PDHcShExUrApGRXEjd3fm/bW15P+qCBXkmt0bDPeWUFH6f2AJz7lwu9IGBPFErOZmHyK9d4yVaFy9yUTZsfWm0MqYsQrFzAQDMfuynWUAWeXQ9ECWrukNlpL1dQ+Ii4yHoBTjmUz48npyQAksbmR1nUiGi/x/onU1UGjW0EgVZreH/F6aYZmcqPgtBBviMzOiwWPw+Y7ek4+u0rQG1Ro0HEkc6mluaY+iSPnh2/yVWj/pNkg1DGvnWRx43R1w4qOw3ZaMu9dG8d2PsWXoY0WHK9c3OCI2ZBt+s6I+k+GRsmZn9bmrGIKP5vdt3WKGxZ1Egfg0o+nsQfTxRJL2oi2VR4sAFkRIluAg3bswHNdy4wW+XKMH/HhTERdvPj4ur6OmKvHnD+17HxXFv+NUrLrhJSfy2hQXw9i0PTcfEcC8c4CHodev431eufP95N2jwfutL8W+m9owBgBKPAElHwWwHg6kLmn4BWSQuKh6PrgXCo5YRZmRmgDgFyaWgQqO/DIiLjIO1vTJ9WvU64Z0oSkWlYpJLyVRqfm5B/5+HnOOo5lkJzXs3xtbZe3D33D/ZPt7S2gKlaxTH7TPSa3Xrtq0B71FtcWDlH7hxSl7oWqVS4YuOtXHp8HVFM64BoNOoNtBp9Tj5u/FDycUrFUXzPo2xd9kRxeurpZJ+fm+TJgzMfgaY7Qgg6QAoojtIH/zB469cSUuCEkV9/Pj/9zINQ9iensDo0VyUx4wBhg7ljTn69+elR4MHc6FNSeGJVpaW/HZwMN8TFveTBYGHsVUq/pi5c4H69XmIWhB4j+3Jk3kymWFDD/F5fwrhzQgSIkCx0wGzioDNwE+9nI9yft9laFN0+LJzXZOcT2znW7R84UwemT0SYhMRGxmPfEVcFLGXGJsIK1t53nZyYgrMJYbQRR3PqYmAUvhsBBkAhi7tAzf3fJjjt1xSfVrlhuXx8MoTySVQANB7RheYmWskh74NadSlPlKStDi3V3qddEa4VyiC0jVK4Oj6kyZJiOg7qxssbSywbOg62eF8Jchofi9jDMz2azDHlYAuEBTeCZSS8etesybfd23Zkot6y5Zp+7AfYtQoLpqjR/NQ9apV/GJg5Uoukno9T+5q2pRnYPfpk1ai1KXL+5FBMaQ9ZQoPdY8Zw+1//z3vsZ2QwGuhs9oW1NQQ6UDRkwAhFsx+NhjTfOolfZRTW8/BzT0fytQ0jYf89M4zmJlrUKhU/swfnA1Ez1sxQY5LetfBTCrJCSmwsLaQdnCqIn9Gevx5CbK1nRXG/z4CEcFRWPb1umwfX79DLeh1ehz9Wfr8YAsrC1RqVB7n9lyU3RijfP0yKFa+MH6dvE12r+z0dBrZBkF3X2Dv0iOK2s0Ip3wOGLqkD26dvoeZXZeYZITdh8hsfi+z9ATLsx1g1qAIPwixC0D0fiap2ON582YeAt68md/OTABHjQK++AI4e5YfJ4aT/f35DOKDB3kilphwNWcOnyI1Ywb/7lEbJN0mJ3NBNpxLLA64sLbmtdCfsq74QxClgKJGAcl/gtmNztGJXAAQcO0Jrp+4jRZ9mpjME7v1132Uql5c8bIn0fMu4qHM9kB0WCzsZNZlx0bEwdZRWghdp+XOhDHKwz4Vn5UgA7yMqWm3L3DjZPZ7QnvUKoUqjctj58IDSEmW7sl59vgSwUGhuHf+YeYP/ggqlQojVg9EyPMwbJq6Q5at9DT2rY96X9XELxO34tl948+gbdarEb5e2hfn917GrG6fTpSzMr+XmZUGc94HWHUC4teCwn1BurTh9P7+3CPu0YOLa48e/HZmArhoEXDuHBfjc+f47Q+t6eBBvp+8bBn3ki0t02qRxSxrMYzt78+zt4mAw4d5qJoxoH37nCXKRMmgqGFA8jEwu/FgNn0+9ZIyZeeCA7BzskH74S1Ncr6I4EgEXH2CWq2qZf7gbPLg0iNYWJnDvWIR2bZ0Wh2iQ2PgXEDePnf46wi4SLShTf2OFrOtPwc+O0EGgNI1SyImPFbSaLCuEzoh/HWkpJGOIvU71IKljQX2LD0su5SmQn0PtOrfFLuXHMa1E8rNGWaM4dvVA2Fla4kffRcjJsL4Lejaf9MSQxb1xtndlxRJfJNCVnszM5UNVA6zwByXA/oXoPAOoLg1IErGlStAnTrA/v087H30KPeQt237/0xrkTZtgO++42HrM2f47+++4/dntCaAe81dugB//MH3oJOT+f6yTgdUrco94W3buKB36ZKWQCYOvvD1/XTZ0+khfRgoog+Q/BeY/fRcIcY6rQ7Xjt9Cva9qwUahRKjMuHCAt7et3Vp5Qb739wPFPO+I4CgQkay6bG2KFlEhMZJtaJO10JipTZL5bio+n2diQK2WvEf16e1/Z/vYqk0qwNPvS2yesQuH1pyQdH4rG0v4juuAc3suSa6NNmTgfD8UK18YUzvMx72/5Xndhji5OmLClhF4FfAG45r/iPjo7I9Byy4dv22NjiNaY/9Px3BmV84bQJEeZtkczOUgYF4PFLcQFNYSNSpfwpkzBMbSPOxp03iN74f2kUND+R5xVf7WRNWq/HboB3q/pO+f3aABT/w6f55fBLx4wUPWJUpwQRcfJyLOYM4JSVyUcgsU3gHQ3gVzWARm7fupl5Qlrhy7idjIeNTvUMsk5xMEAbsXH0LxykVRInVUolK8efoWD688QW2FPO8XqQma4gQpaTZeg4hQuEwBSccnxCbK3sPOaXyWguxaNC8qNyqPPzefybaHyhjDdz8PQe3W1bBs6Dqc3XNJ0hp8x7VHpYblsOzrdXgpcYi3iI2DDeb8MQnOBfPgxy6LFK27q+5VGT/s+R5Pbgbh18nbFbP7MfrP7Q6P2qWwsP8qvHr8SUZpZwumdoPKaRWY068As8GVc39hz28/Ys/OJ+/2nxnjXuqH9pEvXeKjDTt0SMvMPniQ7xNn5FWn95pr1gR27kzrl23Y0COnQkSghJ2giG4AMwNz3gZm1fpTLyvLnNh4Go557VGzRRWTnO/Cgat48fA1fMd2UHy/Wuxn0Mi3viL2gu7yba5iFaRngovzB4pLvPhIiE2Ejf1/gpwr8OrZEK8evcGxX05l+1iNmQaTto9CiSrFsHrUr5LCzmq1GuM2DYeZhRkmt52NcJkjz5xcHTFwnh/CXkXg1NZzsmylp3aramjWqxEOrTmOhxLmSmcXM3MzTN4+EmqNGt83nYbA2/IHppsCZlEPzHkfxowvisb1jqBRxZYY3PsQZswAhg////re9Pj68n1fsdwKyLh+OSOysvedkyDdc1DUUFDMRMC8JpjzbjCzcp96WVnmZcBrXDhwFU26NYDGzDR7lCc2nkbeQs740ruOonYFQcAfv/qjfP0ycCumTKexxzefwsnVAY55pTcvCbjyBOaWZpI95LioeFg7mGYrwVR8toLs2eNLVG1aEcuHrZckMpbWFvhqWEuEPA+T1CMb4NObpu8fi7BXEZjhs1CSDUPqtK2OUtWLY8PErUhKUHZQ+oC5PeDk5oiZvotNErrOVyQv5p2YAkEv4NsvJuHSketGP6cSMKYGs+4C5nICp6/Pw+pf6mPSyBVYtTIWp45nvp1gbs4zoRcu5ElX6YdTfKgLGGCiucQyISEKQswsUFhLIOVvMLuxYE4/g6lM0wNaCYgIy79ZD3Mrc3QZ+5XJznnv/ENUaVJB8azh10/e4vXjYDTr2UgRe0SE6yduo3LjCrJsXDx8DVWbVpT8fKPeRsPJNQuzTHMRn60gqzVqTPwfe2cdF2X2/fHPUNKdiihid3c7YmORIii2Yneha3fHmuva3a2ogI2AAhKCdHfXzDzP+f0xKz93v+6uzjwM4M779ZrXGPOce2FmnnPvued8zvm50DfVxZrR25AjQYuvzkPbQkGBh5dS1AE379YY49Y4IOTlJ6mzmRUUFDBtxzhkJGbh8rZbUtn6K9oGWlh+bi7S4jKwY9KvMqlPrt/GEvvfbkKtBmZYPWIr3j2QvnZbVnh5a8Jh3AhcvKSKtWtr4MKRJXBwMsKTG6tBxRdA7J8XNV/Kra5fF9ciFxf/fxOJr/leFbCqBlEJqPAoKIMPFJ8C1EaAZ/gIPI2JVb7O+K/4XH6NgMdBcFvvBH1T2SwkkqNSkZuRj2ZdG3Fu+0tyq0VTc07sxQTHIzs1F+2tW0lsIy40Eakx6eg8tL3ENrJTc6FvKnfI1QYdQ22svroQBVmFWNRvDQpzf2znp2ukg3YDWuPG/vtSdV7q59wDKqrKOLXmssQ2vtCyZ1P0duiKU2su4dbBh1Lb+5rm3Rpj4sYxeH71LTY47ZZJ60TDWgbY/nQ16javDQ+bLbgnRQ24LPkSQu7bTw08zcnoO3IHLp5+B7/3dUH5q0AZPcDmrwOJPv/p9cD/i5IoKYmzpL/mW9Kef91FVyVIFA82fwsovReocBug0gY8g1tQ0NkAnmLV7G38T0QFxmLn5ENo2N4Kw6Zby2zcL9nVrXo349z2l/NeSUPDf+XJGR8oKCqg/QDJz9Y9T3tDQYGHzsPaSXS9SChCVnIODGTUfUtmEJHMHu3ataPKwPfBe+LzbOnukcc/fG1ydCoN0xpLC/qsJoZhJJ7D6bWXic+zpXcPP0hs4wtlJWXkMXwz8Xm2dG7jNant/ZXLO24Rn2dLi/hrSCQScW7/WxTmFtKyQeuJz7OlQwtOymxcrmFZltgyf2Jy5hOT0pSYlAbEpPcnJm8DPXkQTIaGLD19Kn7t06dEhoZU/vev8fAgAsTPVQ2WLSO25AkxWROJSWlITEpjYrJnEVvmV9lTk4qc9FxyNJ9CjuZTKD0hU2bjsixLk1rMo5mdl1WI/V9GbyMXK3dObBUXFNNwXVdaa79DYhsMw9AoQzf6ZfQ2iW0kRCQTn2dLD05848tTxQDgR9/pI3/qHfIX2lu3glFtA7y+4/fD15pZmmDGngkI9ArBaSl2uPaLbFCrgRn2uR9FbkaexHYAcSOLVZcXoJ9zD/y24hwenfSSyt5fsZ0/DPMOT8X7J8E4t142TSE0dDSw7tZSjJg5CFd23saq4VtkUhvNNTweDzyVtlDQ3QGekQ94WisBxdpA8Tm8e3EPFw5NQa/W00HFF9G7Z9o3E7O+Je1Z2RCVgUofg82dD0rvDMqdBojCwdOcCZ7RMyjo7QVPRbLdTlXh+LJzyE7NxbrbS2FkbiCzccPeRiL2YwIGjOc+DEJECH8bicaduJH9fPDbMxTlFWP0XMmz5fMyC5CfVSBVNCDxUzIA7nb9VYbv9dxcPCprh0xEdGzZWeqvYEeRAdE/fC3LsrRl3D7i82zp2LKzxLKsRHMI8gmlwWpONL7RLEqLS5fIxtcwDEOzuy6n0UZulJeZL7W9r/n6Z76w5Qantv+NWwcf0KAajjSu4SxKjEyW6dgVBcsUEVviSUyuBzFpvcU755QGxGSMJCZ/F7ElT4gVpf7PrvmfdtEVOl9WSKzgI7GFJ4nJmU1MahvxfFM7EJO7jNgST2JZgWwnVYE8Pu1NfJ4tHVl8WqbjioQimtFhCdmaTKTC3ELO7Yf7Roqjg0c9pbYlKBOQrclEmtfLQ+J7IBFRhH8U8Xm25HP1jcQ2TnicJ2tFOyrMK5LYhqyAfIf8vzguGQ4tfU0cXnhSstrk49MxZEp/XNh8XeJmDy16NMGWRx7IScvDnG4rpTqXBsRJXnMPTUFhbjGOLj4tla2/8qUeu49TNxxbegYXttzg1P4/MWz6AGx9shoF2YWY3WWFRN27qho8BXXwVPtBQWcteEZPwTO4A57mAoCnAhQdAuVOA2X0gO+zA7hwfDt6tdsMKjqD3l2e4eL5JPj6Vsx5PpEQJIoDlfmAik6BzV8PNns8KL2DWJ2sYD0geA+oDgBP7zh4xi/FCmaq/cDjKVfInGRNVGAsdk89jJa9mmLCBieZjn197z1E+EVh5t4J0NCRThf6Wzw5+xzKKkqclFIlf05FbnoeBk3sJ1WddFqc+L5nUkfyJhfBz8NQv209mSmoyYrqlf4oBRo6GnBZbYcDs3/DlZ13YLdg2A9dr6ioiFkHJuLtXX9c33sX3Ud2lOhD2bx7E+zwWoNZnZfjhMcFLDk564dtfI1lizqwnT8UF7feRMMO9TFsGneJKIpKiuXzO77sLPIz8zFxk7NMxNybd2uMva83YOXQTVjMX4vx6xwxev5QKCpWfyF5Ho8HKDcElBuCpzlVnJEtCgeEIVg0PwQQhQDFcSCIS9t6Nxc/2DRdQNEcUKwFKJqKk6Z4mgBPG1DQAnga+P88zT8+m1QKUIH4wRaA2FyASQKYBIBJBNg0AF8tUHkagGJdQG04eMrtAZW24Cn+ZGHBr0j4lIRVw7dAU08DKy/Mk2mjgqjAWJxcdRGdh7WrkNaORfnFeHb+BToNbQdNKZtAAEB8mFidS9rmFGmxXxyykUTXlxSWIPxtJKf3uqrCf8YhA8CwadYI9ArBkUWnkJ+Zjwkbx/yQU1VUVMSY5aOw1/0Ynpx9Dv7YnhLNw6pVXYyeNxQXNl+H9bjeaNO3hUR2vuCy2g4xH+Oxd8ZRJEUkY/I2F84c1xenrKmrics7bqMguxDzj02XSeebWvXNsOfVBuycfAhHl5zB69t+WHJqFmfiBlUFnoIGoNIOUGn3xY2KozhspthpMkkAkwRiksV/F0UCgucgKpZkNEDBWOzYVToBiubgKZoDSnUAxTqAguFP1V/2nwh9E4GVQzdBUUkRG+8tl2lNa1FeETxsNkNTTwNzfp1SIb/z079cQl5mARwWc1NLHfYmAsoqSlI3p4gKjIW+qS60DbQkut7r4isISoXoPppbAZUqwffGtrl4VOYZ8hdEIhHtmnpYfF606NQPX88wDM3svEzqc9vS4lJyre9Org1mUmlxqcR2viASimj/7OPE59nSOocdUp3x/B0nPM4Tn2dLZzdc5dz2P8GyLD065UU2Oi40XNeVnp5/IdPxqyIsyxLLFBIrSiFWEEFsmT+xpT7ElnoTW+r1x+MZsaWvxWfBwjhimSxi2bLKnnqVIDYknobrupJrfXdK+pwi8/EvbRdXMoS8Cq8Q+58/xJC1kj3tmnqYM5uzuiyjOd1XSG1nYrO5tHLYJomvn9l5GU1oOqdC7nEVAX7gDPk/55CJxDezjc67aZCqE2WlZP/w9VGBsTRA2YFmdFgi0fVf8PcMIj7Plhb0WU15WdwkZZ1Zf6XCyqFYlqVNLnuIz7OlPTOOUlmJbG/uydGpNKvLMuLzbGn1yC2UkSi70hQ5Pw++D97TSIPxZGc6kVJi0mQ+fl5mPtmZipOjKoLigmKa1GIe2RpP4Oy+kpOeSwOUHejYsrNS2clOy6X+CnZ0as0lia4PeCK+Z17ddUeqecgSuUP+DhIiksla0U6iXTIR0evbfjRUw5nG1JlGMR/jJZ7H49Pe5RnFCZ+SJLbzhS+LDT7PtkJ2kkKBkA4vPEl8ni1Nb7dI5rsLoUBIF7bcoCHqY8hG24Wu771HImH1rFmWI1sYhqEz665QfwU7mtxyfqVl8G903k0DlB0o8v2PV3x8DwfnniBrRTvyeyS95sEXzm++TnyeLcWGJkhl5+aBB8Tn2VJ0UOwPXysoE5Bb49nkYuXOSVRRVsgd8ney0Xk3DdV0poykLImuj/CPIvuak2lsvRkkFAglnkfwizAabeRGY+pMo+LCEontfKGsVEDzenrQIFUnev80WGp73+LVrXc0Un8cjdQfRyGvP1XIGP9EclQqLRmwjvg8W5rWdlGFhf7k/BwU5BTSSptNxOfZ0qaxe6ikqHJu6D5XXhOfZyvxDvHfEIlEZG82idbYSi668S2bY+vNoPm9V0lta26PlTSp+TyJrr3160Pi82zp7b0AqechS37EIf9nyp6+hfNKWxBLmNd9JWJDflxnukHbelhwbDpSY9JxZt0ViefRvFtj/HJtETITs7Bt/H6wLCuxLQBQqaGMX64tglk9YywdsB7X9twVr744pMuw9jjwbgs0dDUwv+cqXNx6U+p5/whm9Uyw6f4KrLw4HzlpuZjTbSW2jNsndVctOT8fUYGxmNF+Cd7d/wD3vROw5NQsqKrXkPk83tzxx6axe9GogxWclo2skDF8Lr9Bdmou+jj14MzmuQ3XkBqTjpGzB0tlx/9xID6+CEd/114SXR/hFwVdI+3yfvc/Jd/rubl4VLUdMpG4cN7ebBLZ6LiQ74P3EtnYMn4fWSva0ceX0u3SvkhWnlx9USo7XyjIKaRVI7ZwavOv5GcX0Bq77cTn2dLi/msoM1nyM3VJKS4opmPLztKgGo40VNOZji07y9nZmZzqzaOTXjRYzYkcak2W+vspDS9v+NIAZQdy77ikwj6bIqGI3BrPpkkt5kkl8/s1gd4hZK1oR5tc9kiVRFVWUkauDWbSuIazqKxUMkGZ2d1WVNi5e0UCecj6x0iLz6AprReQtZI9Bb8I++HrC/OKaKzldBprOZ2So1MlngfLsrTVbT/xebZ06+ADie18DcMwtGX8vnKbFZGZyLIs3T3qSUPUx9BoIzeJFzbSkvQ5hTaM2UX9FezIRseFzqy/wskRgJzqR2FuIW2feLA8aTI7NafS5pIam04j9ceRe8clFaosdWP/fakVsL4mOzWHHM2n0LiGs6gov1gqW7+tOEd8ni35Pw6U6HqWZWmk/jhOs8ZlhdwhS0BhbiHZ15xMc7qvkMhphb6JoBF642ikwXjy9wySeB5lpYLyJgvbJx6UeDX5J5slZeU21zvtqrCbQmxoAk1uOZ/6K9jRuY3XKq0sITootjwyYF9zMl3ZebtCZAnlVD1YlqUn556Tvdkksla0o2PLzlZq0l9eZj65NZ5NI/TGcZK0+Xc8u/CCrBXtaMmAdZx973ZO/pUGqTpJJDf8NX6PPlB/BTva6rZfYhtRgbHE59nSvWPSS4DKGrlDlpDbhx4Rn2dLr269k+j6xMhkmthsLlkr2km8EiQSJ1F8WVHum3lMYjtfwzAMnd1wlawV7ci1wUypv2R/R3FhCW0Ys0tcmjRqq9Qra2kIfhFG83p5EJ9nS8O0xtL+WccpIeLn0MaW87/EhyfSIv4a4vNsaUaHJfTJ7/PfvnbLlv/VB3/6VPzvXFFSVEqzuy6nQapOFOgdwp3hv/D82huyVrKneb08OEtWE4lENNrIjTaM2SW1rfVOu8jebJJUmdHnN10jPs9W4gTcykTukCVEKBDSuIazyMliKkUFxkpkoyi/mFzru9NYy+lS18kenHuC+DxbOr32MmftCIN8QsnRfAoN1XCusNAyy7J0ZedtslayJ9cGMyv0ZvQ9fPL7TJtd99JAFQfqr2BH6xx2UNjbiEqdkxzuyMvMpyOLTtGgGo40XNeVbh548K/fl4pu4pGXmU8L+qym/gp2nIWQv0V8eCINVHGg2V2Xc7r4fXPXn/g8W/K69EoqOwzDkEOtybTOQfJ2jSzL0vR2i2ha20VSzaWy4NQhA/gNQDqAj1/9mz6AxwAi/3jW+57BqrpDJhLfvB1qTaahGs4S1/GGvokgG20XGt9ollRJTmWlAto0VizEsdh6LWWn5Ups62uyUrJpSusFNEDZgR6d9OLE5rcI9A4hFyt34vNs6dd5J2QuJPJXslKy6diys2Sj40J8ni3N7raCvC+/ktcxV1OyUrLp8MKTNFTTmfg8W9oyft8PCfV8ccIeHtw649TYdBpbbwYNUnWix6e9uTH6N6wetZWGaY3l9IxcJBTRxGZzycXKXeojsy9CHtJoInhdelVtw9VE3DvkngDa/sUhbwWw9I8/LwWw5XsGqw4OmUj8RZ/bYyXxebZ0Zt0ViWwEvwijoZrO5NZkjlRqXizL0t0jj2mQqjhTNMgnVGJbX1OYW0gL+/1CfJ4tnd9Ucee9xYUltNf9KPF5tjSh6RwKf/f3YURZUZRfTNf23C1fLIy1nE6n1lyqFAlFOT9OWlw67Zt5jAapOpG1oh1tdN5N0cFxEtny8BDfBT04St7NzcgjtyZzaLiuK4W+qdgoTPCLMKnuUX/H9X33iM+zpZc3fKW2tdl1Lw3XdZU4XC0oE5BrfXea1GIeZ1FCWcN5yBpA3b845E8AzP74sxmAT99jp7o4ZCLxB2G9406yVrSTOOQa6B1CQzWcydF8itQlF58/xNC4hrNosJoTZyIYgjJB+XnvymGbKDcjjxO73+Ldww/kaD6FrBXt6MCc36pEH1ORSEQvrr+lhX3FocX+CnbkMXwzvX8aXG10cv9LxIcn0ja3AzRA2YEGqjjQ9okHpVLb4nqHHPY2gsZaTq/wM2Mi8f3AvuZkcqg1mdNKAn/PIBqiPoYW918j9Xfgk99nGlTDkfZMPyLR9SzL0p4ZR6ulGMjXyMIh5/7l/3O+x051cshEf5wHN5hJjuZTJHZWke+jybW+Ow3XdaXU2HSp5pOdlkuu9d1plKEbZxmbDMPQ1d13aJCqE7nWd6/QpKeCnELaM/0I9VewI/uak8nzjE+VcXwZiZl0wuM8jTZyIz7PliY1n0fHlp2lDxjoRkwAACAASURBVF4fpVJhkyM9Ef5RtMZuO/VXsKPBak60f9ZxSouT7rvE5Rkyy7J0ecctGqDsQM51p1f4ztj/cSDZaLuQU+2pEkcG/s7uYDUnmtRiHuWkS3c8lp9dQGPrzSAni6kSN+G5uPWGxE2AqhJVyiEDmALAD4CfhYWFLH5+TokMiKZBNRxp2aD1Ep+BJkenko22C83r6SH1ajYxMplGG7mRi5W71A7+a0Jef6LRRm40ytCNAp5IXrb1PYS9jSD3jkuIz7OleT096POHmAod70coLS6lu0c9aV5PDxqg7EB8ni3ZaLvQ6pFb6NEpL3lds4zITs2hsxuu0qQW84jPs6Xhuq50fPlZzvIouMqyLswrojW228qrCvKzCziZ39/hc/UNDVB2oEkt5lF6AnfNVTKSsmiI+hia3HK+1M5YJBKRx/DNNEDZQWJZ3cLcQrJWsqfVo7ZyJnJSWchD1hzzpRxKmmYKnmd8qL+CHU1oOkciYfWvCXsrThobrutKT849l8rW1yRGJpNb49nE59nSXvejVFxQcSVLDMPQ3aOeNMrQjawV7WjP9COVovL1TxTmFtLza29o15RD5GQxtbx8avuEAxTkE1pldvc/C0KBkN4/DaZNY/fQQBXxYmhuj5V0bc/dKllHHugdQs51p5O1oh1d2n6rwj8PsSHxNFTTmWZ1WUYFOdz+PrZPPEgDVRykbrjBsixtcztAfJ4tXd97T2I7zy68ID7PttIrNLhAFg5521+SurZ+j53q6pCJ/r+Zgo2OC0X4R0lkw98ziOzNJtEgVSepVbOSo1NpdrcVxOfZ0vHlZzm7GZQUldLBuSeov4IduVi5S/yzfi/52QW0b+YxGqDsQEPUx9CRRacq9CxbUliWpSCfUNo+4QAN0xpLfJ4tOdedTpvG7qHr++5RuG8kCcqkF3H5r5GZnE33f3tKa+y2l2e/22i70P7Zxyk+PLGyp/dNykoFdGTxaeqvYEeu9d1l0tikuKCYJjSdQ7YmEzmvxQ33jaT+CpJ3vvuayIBocZh58Wmp7KwetZXszSZV20Sur+E6y/o8gBQAQgCJACYCMADw5I+ypycA9L9nsOrskInE5Qz2NSfThKZzJA4XZafl0tKB4i5Fx5ZJ50hFQhHtnPxruYAIl2VFQT6h5FR7Kg1SdaIrO29X+Bcj6XMKbXbdS/0V7GiY1lg6teZShe7QpaG4sIQenfQS3zRqTiY+z5b4PFsapOpEMzsvo9NrL1NUYOzfvreyEKWoqjAMQx9fhtPBuSdoXMNZ5b87R/MptHPyr/Ti+tsq+74TiR3OlFYLiM+zpV1TDslkrsWFJeQxfDNZK9pxfpyUn11A09ouInuzSZwkWu51P0oDVRyk0uvOTsulQariXIGfAbkwSAXi7xlEw7TGkq3xBIm/HAzD0I5JYke6Z8ZRqZwdwzB0YM5vxOfZ0sRmc/9RnehHyUnPpZXDNpUrH8nirDc2JJ5+GS0+kxtpMJ5Orr4ocVKILGBZltLiM8j78is6vPAkzeqyjPor2InLqerNoP2zjpPnGR+KC0ssPwuraFGKqgTLspT0OYUenfKiPdOPkFNtceh/UA1HWjF0I13YcoM+f4ip8uH/slIB/bbiHFkr2ZO92SR6fdtPJuMmRCTTpBbzyFrRjq7vkzwE/C1SY9NpYrO5NFDFgV7elL7EKdw3kqwV7WjHpF8ltsEwDC0duI4GqTpRbIjkfearEj/ikHni18uG9u3bk5+fn8zGqyjiw5OwZvQ2JH5Khtt6J9gvHg4FhR/rZElEOLbkDC5tv4Ve9l2w+OQsqNRQlnhO7x5+wI6JB5Gbno9xaxzguHQEeDyexPa+nqf3pVc4MOcE8rMK4LhkBJw9bKWa6/cQ9jYSFzZfx6ub76CqXgODJ/Mxev5QGNc2rNBxuSA7NQdvbvvj1a13eP8kGIJSIQBATVMV9dtYwqKJObKYJth3sTOcbPNx+aYeLl3moW9f6d+vyoJhGKTHZyIlKg3JUWlIiUpF/KckhL+JRG5GPgBAXUsNrfo0Qy+7rug8rB00tNUredbfR9jbSGyfcADxYUmwHt8b03aMg5aeZoWP+/l9DBb2/QWKSopYfm4O2vVvxZnt6KA4LBu4HmUlAvxybRFa92kulT1BmRDu7ZegMLcIR4N3QlNXQyI7F7fexLGlZzD74GQMm2Yt1ZyqCjwez5+I2n/Xa+UOWTJKCkuwc/IheF18hV72XbD83NwfdsoAcGnbTRxdcgZNOjfA0tOzUdPKVOI5FeQUYu+Mo/C6+ApdbNpjzq9TYGCmJ7G9r8nPLsCh+Sfx+JQ3LJrUwuyDk9GqVzNObP8TcaEJuLj1Jp6eewEAGDihL8asGFUtHDMAMCIG8WGJiPCPRoRfFD6/j0FSZAryMgsQRQ6IgS0scQWt9e+gQXsrNO5QHw3a1UO9lnVgUscIikqKlf0j/A8syyI9PhMRflH45PsZn/yiEOEXhZLC0vLXKKsowczKBI061kfTzo3QrGtDWDQ1h6Ji1ft5/o7s1BycXnMZ9456wqCmPuYdmYoOA2XTi/ftvQBsHbcfqho1sMNrDUzrGnNmu7igBO4dlqC4oBRbHnmgbrPaUtkTCoTY5nYAz86/xIa7yyXuV/z86husd9yF7qM6YeWFeZxsKKoCcocsI4gI5zZew+8eFzB+rSOcV46WyI735dfYPfUweAo87Hj2Cyxb1JFqTtd238VvK86hhpoKpu92A39sT84+3G/v+mPfzONIi8tAf9demLzVBXrGOpzY/ifS4jJwcetN3D/mCR6PhyFT+sNx2UjOFhyy5sG9MjiPVcKIAWm4cscQzr0egE1+jpjgeLAMCwBQVFKESR1DmFmZwszSGPqmetA11oauiS70THSgpacBdW11qGupQlVTVSpnR0QQlApQUliK4vwS5GbkI++PR25GPjISMpEam46U6HSkxqRDWCbe9SurKMGqdV00bG8Fq9aWqFXfFGZWJjCspS/RArUqUFxQgsvbb+HKztsQlokwbJo1xq93lMmOXlAmxPGlZ3Ftz13Ua1kHHpcXwLyBGWf2iQjr7Hfg5Y132Pp4FVr1lm5RXVxQgrV2O+D/KBATNoyB07KREtnxvf8eHsM2oXGnBth4f0W1iZ58D3KHLEOICFtc9+HpuRdYf2eZxKvDpM8pWNB7NViGxfZna2DRuJZU80qMSMb2iQcR8vITOg1pi3lHpnHmvEqLy3B2/VVc2XELqhqqGLfWAcOmWctkN5cWl4Ez667g0UkvKKsooY9TdwwY3xvNujWuNivqZ88Ae3vg0iWgT58//71LpzLEBMcjLjQRKVGpSI5KRXJUGlJj0pGfVfCPdlXVa0C5hhKUayhDuYYylFSUoKgkdoo8Hq/89yMSiiASMmCEDERCEcpKBCgtLAXL/v29QF1bDTWtTGFWzximdY1hZmWKhu3qwbJlnQo/vpAVIqEI944+wem1l5Gbnocetp0xYcMYTh3iP5H0OQUbHHchMiAGw90HYso2F6ioqnA6xpeI3JStLrBbaCO1vR0TD+LRKW/MOzINA936SGxnQZ/VyEjIwuEP26CmqSb1vKoScocsY0qLyzCn6wrEhyVi3FpH2C0cJtFuJT48CQt6r0ZZcRmmbnfF4Ml8qZwMwzC4ue8BfltxDipqKpix2w39nHtw5rjiwhJxcM5vCPAMhmULC7jvnSCTMDYgvnmd33gdPldeo6SwFM27N4bzSlu069+yyjvmrVuBDh3EzvgLz54B794Bixf//XWMiEFuRj5y0nKRk5aHotwiFOeXoLigpPxZJBBBWCaE8I9nli3P3sSXr7qSsiIUlRWhpKQEJWVFqKipQE1TFWqa4p22mqYqdI20ofPHQ9dIG6oaqlX+9yopLMvC+9Jr/O5xHslRaWjRswkmb3FBk04NZDYHv0eB2OC4CzwFHhYen4Guwztwap9hGPzucREXNl9HD9vO8Lg4X+r3M9ArBIv5azB85iDM2O0msZ0gn1As6L0a49c5wnmFZFHGqsyPOGR5ljVH5GXl0xq77eXqU5IqCqXGppc3fVg6cB0nykRxYYk0u+vycs1qadtCfg3LsuRz9Q05151OfJ4trXfaxamC2L9RXFhC1/fdK8/endpmIZ3beI1iQ+KrfOaunMqFZVnyffCeprVdRHyeLU1uOZ/e3PGT6eeGZVm6uvsOWSva0eSW8yk5OpXzMUqLS8tLLXdM+pWT8sjM5GyyM51Ibo1nS9X2saSolFzru5OLlftPq4IHedlT5cCyLD066UVD1MfQjA5LJHamDMPQjf33aYj6GBrXcBbFhiZIPTeRSERXd92hIepjaLiuK9075snpjaekqJROrr5Ig9WcaKCKA+11Pyq1BN+PUFYqoDuHH9GMDkvKa1tdG8yko0tOU0pMmszmIafqIxKJ6Mm55zSz87Ly8jTPMz4yl2gsLiguV7VaPXJLhdQ0CwXC8hautw894sRmSVEpzevlQUM1nCnmo+SlSV83j/jw7CMnc6uKyB1yJfP6th8NquFItsYT6Pk1yZuTf3wZTqMM3WiQqhOd33SNk769iZHJNL/3qvIey1w7q7T4DNo15RBZK9mTjY4LXdp2U+qeqj9KRmIm3Tr4gJYOXEfWSvbUX8GOVg7bRL73A6q9Lq4cyREKhPTgxNNyQRK3JnPo5oEHlaKwFugdQmMtp1N/BTs64XG+Qj6XqbHpNKvLMk5bNKbFpdO0touov4IdPTnrI7EdoUBYrsXw67wTnMytqiJ3yFWAmI/xNL2dOBS22XWvxNqz2ak55eL1Mzos4aS7C8MwdOvgAxqmNZaGajrTjf33Ob8hxIUl0oqhG8slJq/tuVspCkzpCZl0YuV5sjWZKN4113en85uuUfi7z5wscORUbViWpQj/KDq+/CyNtZxefqzhc/VNpSzOBGUCOrrk/2U3g59z09/8r7y84SuW+tV2oWcXXnBiMzs1h+zNJpGNjgu9uesvsR2GYWj5kA3E59nSiZXnf/qjJblDriIIBUL6fdUFslayJ9f67lI1lfC69IpsjSfQEPUxdPPAA05uJqmx6bRkwLpyEX9pm158i3cPP9Cc7mLN7RF64+jM+itUUiRZs3JpEJQJ6Mm55+Vz+aKZvM5hB3149vGnvyn818jPLqALW27Q2HoziM+zJWsle1rEX0Ovbr2rtPc63DeSprZZWH6WWxELVJZl6fjys+JmOO0XS90s4gulxaW0bPAGGlTDkaICpbtPPDnrQ3yeLV3ZeZuTuVV1fsQhy7OsZcDHl+FYa7sdRXnFcN87EYMm9pUowzEnLRebXfch4HEQmnVrhPlHp0tdHkVEePi7F44sOoWi3CIMmWqN8WsdoG2gJZXdvxL6JgIXNl/H61t+MKiph1FzhqD/uN4yqWH+K5nJ2fj4PAwfnoXA5/IrFOQUwdjCEF2Hd0D3kZ3QvHvjKinIIeefEZQK8PZuAJ6cew7fuwEQCkRo3acZ+jn3RBeb9tAx1K6UeeVnFeD3VRdx59Aj6JnqYs7ByZxnUQPibPH9M4/j9qFHGDSxH2bun8hJSVpuRh5Wj9iKsDeRmH1wMoZO7S+xrcSIZLh3WIrajWtiz6sN1UooRlLkZU9VkOzUHGx22Yf3T4LRd0x3zPl1CtS1frzejojw+JQ3Ds3/HaVFZXBeaQuHJcOhpKwk1fzyswtwavUl3D70CBraanBdUzG1xR9fhOG3lecR7BMGJWVFdB3REUMm89G6b/NKEZIoKymDz+U38Ln6Gv6PgiAsE0LbQAsdB7dBw3ZWsGpdF1at6/5UQgU/E2lxGfj4Ihwfngbj+bW3KMorhr6pLno7dIP1+N6walW30ubGiBjcPeKJ31ddQFFeMWymD8D4dQ7Q0JFMVvLfxto+8SA8T/vAfqENJm0Zy0mZWsKnJKwYsglZydlYeno2eozuLLGtkqJSzO6yHNkpufjVfwuMLYyknl91QO6QqygMw+D8xus4veYSTOoaY+XFeWjYzkoiWzlpuTg49wS8Lr5CvVZ1MO/wVDTuKH3dZMzHeBycewIfnn5E3Wa1MWWbS4XIBcaFJuD+sSd4dMobBdmFsGxhgTHLR6GHbedKWzWXFJbg3YMPeHnDFwGewchNzwMgVszqNKQtetp2QYeBrTmPHsj5MQpyCuF96TUenniKcN/PAMTCJd1GdEQ/5x5o3ad5pUc4Ar1CcHDuCUQHxaF1n2aYsdtNKgW+fyIlJg3b3A4g2CcM49c5YszyUZw44wDPIKyz3wklZUWsubkETTs3lNhWXmY+1jvsRKBXKDbeX4H21tzpcld15A65ihPkE4otrvuQn1mAJadnofvIThLbennDF/tmHkN2Si6Guw/kROKPiPDyhi+OLj6N5Kg0tLNuhSlbXVCvJfc3FEGpAN6XXuP85utICE+CeUMzOC4diX7OPaTe9UtLdmoOPr+PxfsnwXh6/gWyU3KgoMBD484N0WlwW7SzboW6zcxRQ61Gpc7zZ4cRMfj07jP8HwXB79EHhL+NBMsS6javDetxfdCmX3NYtrCo9PAnESHIOxRn1l/Bh6cfYVLHCFO2uaDH6M4VJqry8oYvtrjuA4/Hg/veCbAe15sTuzHBcZjTbSVM6hph7c0lMLM0kdhWbEgCVgzZiJy0PMw7MhX9XXpxMsfqgtwhVwNy0nKxasRWfPL9jAkbx8B+kY3EIdui/GKcWHEetw4+hL6ZLtz3TkT3kR2lvgkIBULcPvgIZ9ZdRmFuMQaM741xax1gWMtAKrvfgmEYvLzui3MbryHqQyxM6hhh4IS+4Lv05FRYX1JYlkWEXxTe3g3A23sBiPSPBiCWpDS1NIZFk1qwaFwLtRqYlWs7V1ct58qEETH4+CIcEf7RiA9NQHx4EmJDElCcXwIFBR4adqiPdv1bosuw9mjY3qrKqIcFeAbh9NrL+PgiHHomOrBbOBw2M6wrbLHGMAzOrb+GU2suoVEHK3hcWgCTOtyEgLNTczC7ywoIBSIc8N0k1fddJBTBvcNS5KTlYt3tZWjUXrKIYHVG7pCrCWUlZdg+4SC8Lr5Cq97NMPfwVKl0c8N9I7Fr6mFEB8ah4+A2mLl3IszqSb6y/UJBTiHOrr+Km/vvQ1FJEfaLhsNukQ3UNFSltv1XiAi+99/j0rabCPYJg4KiAvhje8Jp+UjUqi8bTeHvISslBx+fhyE+LAnx4YmIC01EYkRKedMFXSNtdBjUBu2tW6Fhh/qoaWUid9DfgIiQ9DkVAY+DEOAZiA/PQlCUVwwA0DXWgUWTWqjTtDZa9W6GNv2aQ1u/6hwXEBECPINwftN1BHqFwLCWPhwWj8CgSX0rNGoSG5KAHZN+RfjbSPQf1wtzf53CmeZ1wJNgbB23D4U5RdjhvVYqB5qfXYD1Drvw/kkw1lxfXCGJbNUBuUOuRhAR7h9/iiOLToERMZh3eCr6jukhsT1GxODGvvs4ufoiGBEDp2WjYL94OCfZlikxafht+Tl4XXwFg5p6mLBhDPguPSvM0aTHZ+Dyjtu4d9QTIoEI3Ud3RlebDmhn3RK6RrLPzv43GIZBZmI2Ql6Gw/f+e7x78KG8IYS6lhqs2tRFw7b1YN6oFowtDGFSxxDGFoY/nZj+t2BZFnmZBUiJTkN8WBISwhIR/ykJ0YFxSI/PBACY1jVCW35LdBjUBi17Nq2yZ/Usy+LVzXc4v+k6IvyiYFBTD/aLhmPoNOsKbbTBiBic33QdZ9dfgbq2OmbsdkPfMd05iRKwLIvflp/DpW23YN6oJpafm4P6rS0lthcfngQPm83IiM/EnENTMGC85I0nqjtyh1wNyUzKwsYxexD8PAyDJ/XDlO2uUp0FZyZl4dCCk/C+9Bq1GpjBfY8bZ8lZIa8+4dD83xHu+xmWLSzgtGwUetl3qTDHnJ2ag8vbb+PxKS/kZRaAx+OhYft66D6yEwZP4VepXdPXMAyDmKB4fH4fg8iAaHx+H4OoD7EoKxH86XWauhrQNtSCtoEWtA00oW2gBSNzA9RtbgHLFhao3ahmpZ+n/xtEhLS4DER9iEXUh1ikxqWjIKsQ2am5yE7JQU5aHhgRU/56ZRUlmDeqiTpNzdGyZ1O07d8SNa1Mq0wI+lsISgW4f/wpbh54gITwJNS0MoHD4hHgu/aq8I5XMcFx2DHpV3x6F4Xejt3gvseNs0VpWUkZ9kw/isenvDFkMh/Tdo2HqrrkO3zf+++xccxuKNdQxuqrC9G8W2NO5lldkTvkagojYvC7xwVc3HoTBjX14L53glQJX4C4i8z+WceRFJmCrsM7YNrOcVIlaHyBZVl4XXyFcxuuIi40EQ3bW2HKVhep+6v+25iR/tF49+ADfO8HIOxNJFRUldHbsRtspg9Aow71K2xsrmAYBjmpuUiLy0RaXAbS4zORmZiF/OwC5GUWoCCrAPlZhchMyi53YErKijC1NEbN+qYwMhfvqo1qG0DfVBda+prQ0teEtr4m1LXVK8ShCcqEKMguLO+NnPdHx6nUmPQ/eiSL20OWFpUBEJ+rG9bSh7ahFvRNdaFvqgd9M/GzSV0jWDSpBVNL40pPwvpeykrKcPeIJy5uvYnslBw06mCF0fOGoadt5wrP5i4pLMGZtVdwZdcdaOpqYPbByehl14Uz+5/efcaWcfuREJ4E11/s4bLKTip7/o8DsXzQBtRtYYG1N5Zwdq5dnZE75GrO12fBPWw7Y/aBSVKthgVlQlzbfRdn118BI2LhuGQEHJYM5+Sci2EYPD37Aic8ziMjIQsdB7eBw+IRaNGjSYXvdmKC43Dr4EN4nvFBaVEZGra3wsAJfdG6TzOYN6xZpXdb/4agTIjET8mICY5HTHAckj6nIjUmHenxmX/bF1lBgQdVDVWoatSAqkYN1FCvARVVZSgqi9ssKikrQlFJEV++81+U+liGhUggEj+EDASlApQUlqK0sBQlhaUQCZlvjqeqUQOmlsYwq2cC07rGqN24Fuq3sUTd5rUrJL9AlhARoj7E4uUNX9w98hg5aXlo1bsZXFbZVeii8+vxvS+9wpHFp5GRkIVBE/th0mZnzsL4QoEQZ9ddxfnN12FQUw8Lj89AW35LqWymRKfBvcMSGNTSx95XG/4TRzHfg9wh/wSIhCJc3n4bp365CE09TUzfOQ59nKQ7L8pMysKRxafx7PxLGNU2wKRNzlLb/EJZSRlu7HuA85uuoSivGDXrm8J5xWj0G9ujwndCRfnF8Dztg9u/PkRcaCIAQNtACz1GdcKI2YNRt1ntCh1f1pQWlyEzMQu56XnIzy5EflYhCrILUZBdgLJiAUqLSlFaXIbSojIIy4QQCRmIhCIwQgaMiBG/33+85zyeuM5aSVkRSipKUFJRgrKKElQ1VaGuqQY1LTWoaapCS0/jT/2RdY11oG2gVa0XPd+iMLcIdw49wu1Dj5Aenwkej4c2/BZwXjEaLXs2lckcPr+PwcG5JxD8PAz1WtXBrP2TOA37JkYkY+v4/Qh7I04Kc9/tJrVYSXx4En4ZtQ25abnY77sZNa1MOZpt9UfukH8ivj47atOvBWbtn4jajaSTywz0DsHhBScRGRCDpl0bYcZuN87KEUqKSvHi2ltc33MXkQExqNPUHGM9bNHFpn2F1+sSEeLDkxD66hMCvUPw/MobCEqFaNTBCl2Hd0S3kR1h0bjWT+dE5EiHoEwIv4cf4HP5NV7dfIeSwlK05bdAH6ce6DSkrczkXXMz8vC7x0XcO+oJbQNNuK13wsCJfTlb0DIiBld23sHJ1RdRQ00Fcw9NQS/7rlLZJCLcOfwYhxecRA31Glh1ZQFa9ar4CEJ1Qu6QfzIYhsHdw574bcU5CEoEsF0wDGNWjJYq8YJlWTz63QvHl59DXkY+rMf1husvdpzJ2RERnl99g989LiDhUzLUNFXReVg79LLrig4DW3NWpvFP5GcV4MFvT/H86ptyRSfzhmboNLgt6reth3ot66BOU/NKV3WSI3uyUnLw8UU43t71x8sbvijOL4GWnga6jeyE4TMHSpVhLMlcLm+/hbuHH0NQJsSImYPgstoOmrrcSWxGB8Vh+8SDiPSPRreRHTFr/yQYmOlJZZNlWeyeegT3jz9BO+tWWHTCXWqbPyNyh/yTkp2ag6NLzsDztA+MLQwxfdd4dBshnQBIUX4xzq2/imt77oIIGO4+EM4eoznLXGZEDD48+wjvS6/x8oYv8rMKoGeig1Fzh2LIFD609DQ5GeffyEzKwutbfnh58x2CvEIgFIgAAAY19TBgfB/0duyGus1qy3fPPzGMiMHbuwG4fegh/B4GAhBnuHcb0RG97LugTb8WMs1mLy4owcUtN3B11x0IBSL0HdMdTstGSd0w5muEAiHOb7yOcxuvQUtfEzP3TURPW+mVw3LScrFr6mG8vuUHx6Uj4bbeUV5n/zfIHfJPTpBPKPbNPIbYjwnoMLA1pu4YhzpNzKWymR6fgTPrruLhiafQ0FHH2FV2GDbdGsoq3JVziIQivH/6EVd23EKAZzBUNWpg4IS+GDV3CCeZ3z8yj8SIFEQGRMP70iu8u/8eLEswqWOEjoPbotOQtmjdp5lcEvMnIDM5G4HPQvDh2Uf4PfyAzKRsGNbSx6CJ/dBxcBtYta7L6Wf8e0iPz8DdI564d9QTuRn56OPUDePWOHAufBMZEI3tEw4iOigO/Zx7YMZuN06Swp5ffYM904+guKAUkzY5Y+ScwfKF7D8gd8j/AURCEW4deIiTqy+itKgUA9z6YtxaB6lDRtFBcTi88CQCPINhWtcIQ6ZaY9i0/px3qPn8IQbXdt/Fs/MvwDIsOg5pi85D2qG3YzeZd1bKTM6G7x+SmAGPg1BaXAYFRQWYWhqjVgMz1KpviloNzNCkU4MqJdco58+wLIvQ1xEIex2BuNBEhL6JQEJ4EgDxTrhV76bgu/RCl2HtZX5MQUR4/yQYN/bfx9s7/iACOg1pC+eVozlpCvM1glIBzqy7gotbb0LXx6XrAwAAIABJREFUWAdzD01Bl2Hf5Q/+kZKiUuyZfgRPzjxHw/ZWWHxyptQbgf8Ccof8HyI3Iw/nNlzD7V8fQrmGMsZ62GLknMFSrfq/yFde3n4LgV4h0DbQgvPK0ZzvmAFxKPnm/gd4cvY5MhKzoKmrgeEzB2LUnCGVotQkKBUg0DsUwT6hSPqciqTIFCRFppTX2JrUMUKP0Z3R064LGnesL3fOlYygVICwN5F49+A9vC6+QlpcBgBA31QX9dtaonXv5mjdtznqtapTKXXPDMPg9S0/XN5+C6GvI6BrrINBE/tiyJT+nNfofsnbOLr4NFJjM2A9vjem7RjHybFQ8PMwbJ9wACnR6XBZZQen5SOrvFhNVUHukP+DJEel4tf5v+PNbX+Y1TOB49KR6O/aU2oH+vl9DI4uOY0Az2CY1TPBiFmD0MexG/RMdDmauRgiQoRfFM5vvo6X132hqlEDnYe2Q5u+LdCmXwuYWhpXmvMjImSl5MD/USB8rrxGwOMgiIQM9M300KCtJSxb1EG9lnVQr6UFTC2N5aHuCkJQJkRabDqSo9IQ8S4Kgd4hCH0dAWGZEAqKCmjXvyX6jumBjoPaVLrsZllJGR6f8sGVnbeRFJkCU0tj2C2wwcCJfStE1SsyIBq/zvsdwc/DYNnCAtN3jUebvi2ktltaXIYTK87j+t57MLU0xoLj0+VZ1D+I3CH/h3n34D1+X3UREX5RMDI3gNPyURg8qZ9UIToigt+jQJxcdQGf3kWV3/xsF9igbT/pv/R/JTYkAVd33obvgw/ITskBIN6ZtunXAoMn89GkE7chvh+lMLcIr2/5wf9xIKKD4hAflvQnWUgtPQ0Y1NSHfk09GNTUQ4M29dC6b3N50th3QkSID0uE/6MgRPhHISMxCynRachMzC4XNeHxeKjfpi5a9W6OVr2boUWPxpwfq0hCYkQyru66g+dX3yAvswAN21vBfqENuo/qVCFh8qyUHJxYcR6PTnpBx1AL49c5clYqFfr6E7aOP4CkyBTYzBiASZud5WIfEiB3yP9xvjjQs+uvIOTlJ1i2sIDzSlt0H9lR6ptCXGgCnpx9jsenvJGZlI1WvZth2PQB6Dq8PefhbCJCwqdkvH8SjA/PPiLAMwjF+SVo1q0R7BbYoPOwdlVCflEoECIhPBnRQXFIi8tAdkoOslJykJWcg4yETGQlixcVeiY6aN23ORp3aACLpuawaFILRuYG/3knnZOWi6jAOEQHxiIqMBbBPmHISMwCABiZG8DIwhBm9YxRs54pzOqZwMzKBHWamsssQ/97iAmOw7mN1+B96TWUayihi017DJs2AC17Na2Q97espAxXdt7Bhc3XIRKIMHL2YDivHM3JooQRMTi34RrOrL8CI3MDLDg+nZPd9n8VuUOWA0Ds0F5ce4tjS88gOSoNRuYGsJkxAIMm9YOOobZUtgVlQtz59RGu7bmLtLgM6Bppw3pcbwya1A/mDWty9BP8meKCEjz47Smu77mL1NgM1Kxviq42HdCgXT00bFcPNeubVsnSi9TYdHx4+hHvnwbjw9OPyE7NLf8/dS011GpoBsNa+jAw0xPvrM30oGukDQ1ddWjqakBTVwMaOupQ1ahRLc7tiAjCMiFKCktRkFP0h4pYIQpzCpGVkovMxCxkJGYiIzEbabHpyEnLK7/WyNwAjTvVR3vr1mjbv2WV6IX9LRgRg0/vPiPAMxgBnkEIfh4GNU1V2MwYgNHzhnJ+pPOFL5KaR5ecQXp8JrqN7IjJW8ZylqGdEpOGzWP3IvR1BPguPTFz30SZJ1n+bMgdspw/wTAMfO+9x4199xDgGQwVVWUMmdIfTstHSa1CxDAMAh4H4d6xJ3h18x1YhkXTro0wduVotB/QukJ2B4yIwYvrvri5/z7CfT+X9yBW11JD+4GtMWRKf7Tu06xKOmciQm5GPuJDExEfJu6jnPQ5BVnJOchOyUFe5rd1qr+gqKRYrlOtqlEDhrX0YVLXCCYWRjAyN4CuiQ50DLWhY6gFbUMtaGirSx0VYVkWRXnFyM/6/wYYOen5yIjPRGpcOtLjMpCRmC3Wvy4Sa2Cz7N/fV1Q1asCotiGMzPVhXNsQdZtbwKp1XdRrWafSz37/jajAWNw++BDPLr5EcX5Jeei86/COsHEfUKGdxwKeBOP4srOI8ItCvVZ1MH3neLTu05wT2wzD4N4RTxxbehY8BR5mH5yMvk7dObH9X0fukOX8LbEhCbiyQ9zKUEVNBSNnD4bdQhtOwn9ZKTnlmtJpcRlo2qUhxq1xQJt+LSosLCsSihAXmojIgBh88o2E9+XXKMguhFk9Ewye1A/W43tD37T6qAcJBULkpOYiP6sQhblFKMgpQlFuEQpzi8Q61cVlYqdXJH7OSMxCWmwGspJz8HffZWUVpT8aTqiihroKFJUU/3golDebYBkWDMOKn0Usyv7Qwi4rLvufdpFf4PF40DfThUkdIxjVNoC6lngXr6apClUNVahpqkJTT0PckeqPZ11jHWjqalSrMH1JUSm8L77C3aOeCH8bCeUayujj1A0dB4nr1aWNNv0bMcFxOLrkDN49+ACTOkYYu8oO/V17cnZcE+Efhb0zjuLTuyi07tscC4/PkHdp4hC5Q5bzryR8SsKpNZfhdeElNHTUYbfABsOmW3OyQxEKhHh4wgvnNlxFRmIWGra3QqfBbdGW3wJNOjes0BpQQakAL6774t5RTwR6hUBRSRH1WtVB3Wa1UadpbdRtZg7LFhacSYRWFYQCIbJTcpGbkY/8zHzkZRYgP7MARfnF5c67rFiAspIyMCIGjEjsfEVCEXg8HhQUFcofikqKqKGuAlV1Vaj9sRvX0FEv79msY6gFHUNtGNTSr/A+wJVBSVEpIv2jEeEXhU9+UfC9F4Di/BJYNKmFIZP7g+/aUyY9uCP8o3Bj/314nvKBho46xqwYjeHuAziTnS3MLcLvHhdw+9eH0DHSxrQd0jewkfO/yB2ynO8mOigOv6+6gNe3/KCqXgOj5w+F/aLhUNeSPptSUCbE/WNP8OikFyL9o0FEMKtngjHLR6Gvc48Kv5knfErCo5PeiPCPQlxIQnlyFQA06mCFAeP7oI9Td041g+VUT1iWReirT3h67gU8z/igpLAUAGBU2wCtejfD4El8NO/eWCbOKuxtJE6sPI/3T8THSzYzBsJp+UjOFgEioQiPfvfCCY8LyM/Mh82MgRi31kH+Pagg5A5Zzg8THRSHcxuvwvvSa+gaacPZwxZDpvA5y5zOzy6A/6MgXN5xC5H+0dDQUUf3kZ3Qx6kbWvdpLhPlpIKcQsSFJiL8bSQen/JGdFAcVFSV0W1kR3QYIJZRtGhSq1okTsmRHkbEIPh5GHyuvMHL62+RnZoLFVVl9HLoil52XdGwvZXMOj2xLIuwN5G4vP0mXt54B10jbTguHYkBbn04c5Qsy8L70mucXH0RSZEpaNqlIWbum4gGbetxYl/Ot5E7ZDkS8+ndZxxdcgaBXiEwrKWP7qM6YcD4PqjfhpvuN0SEAM8gPDn7HC+v+6K4oAS6xjroNqIjWvZqiu6jOskkDEpE+Pw+Bg9+e4qn516gMLcIgPi81aKpOeo2rw3TOsYwtjBE677N5f1dqznZqTl49+AD4sOSkBiRjIRPyUiJSoVIyKCGmgo6DmmLnqM7o+PgtpxEh76XcF/x4vDlDV9kJedAXVsN9guHY+ScwZzNg4jgey8Av604j+igONRtXhtu653QZVh7eXhaBsjMIfN4vFgABQAYAKJ/G1TukKsHRAS/hx9w+9Aj+D0MhLBMiB62neG2zlHqXsxfIygV4O2993h24QX8HwaiuKAE+qa6GDV3KIZO5ctM6IERMUiMTEHUh1hEfYhFdFAs4kITkZWUXZ4t3LhjfXQa0g6t+zRDo471Zd6QQM6PU5BTiOdX38Lr4ksEPvsIliUoKSuiZn1T1G5UE+YNa6JRh/poP7A11DRUZTYvRsTg7b0A3Dr4EP6PAlFDTQXtB7ZGj1Gd0XlYO07LjCL8o3Bk0WkEeoWgppUJxq1xQG/HblWyAuFnRdYOuT0RZX7P6+UOufpRlFeEKzvv4MrO2xCUCtGyV1N0+qMjknnDmpytsBmGQeCzEFzcdhMBj4Ogrq2GTkPaonm3JmjRozHqNKst85sII2KQEpOO1zffwevSq/JzcFX1GmjarRFadG+CWg3MYGppDLN6xtAx1JbvOCqJ4oISxIYkICYoDjHB8YgOjkPY6wiIhAxqWpmgj2N39LTrUqn9r5M+p+DB8ad4dMob2Sk50DfVxcg5Q2AzYwDnu/LU2HScWHkeT8+9gK6RNsaussOQKXz5cUwlIHfIcjgnJz0P1/fcxaub7xAXmggAqGllgu4jO2HUvKGcNiaP8I/C9b338P5JcHkilpaeBhp3bohOg9vCelyvSpHwy88uQJB3qLidn9dHxH5M+NP/q2mqQt9MDzpG4jpg49qGaNOvBVr0aFLl62urA0SEmOB4vH8SjPB3n5GdkoOc1Fxkp+aiKK+4/HVqmqqwbGGBpl0aobdjNzRsV6/SFko56Xm4ffAh3tzxQ2RADBQUeOg4pC0GTRC3f+TaQWal5ODchqu4f+wJeAo8jJ43FA5LRsjFPSoRWTrkGAA5AAjAYSI68k+vlzvkn4PU2HS8u/8eb+8F4N2DD1BSVsSw6QPgsGQEp0kwRITUmHQEPw/DxxfhCHkVjviwJGjqamDwpH4YPnNgpZYvlRSVIi02AynRaUiJTkNqTDpy0nKRl1mAvMx8pESllWfr1mlqjubdGqN5jyawal0XZvVMoKoub0LxTxTmFiHhUzJiguPx4Vkw3j/5iNx0sarXl9pnfTM96JvoQt9MD3WamsOypQVM6hhVekg2JToNl3fcxsMTTyEsE6F598boMLAN+rv2hGEtA87HKy4owaVtN3F15x2IhCLwXXrB9Rd7GJlzP5acH0OWDrkmESXzeDxjAI8BzCIin7+8ZgqAKQBgYWHRLi4uTuLx5FQ9kj6n4OyGq3hy2gcqqiqwcR8IvktP1GlqXiE3xdA3Ebi2+w6eX30LAGjQ1hIN21mhYXvxozJDkn9FKBDik+9nBD8PR/CLMIS8DEdxfkn5/xvU1ENNK1OYWhpDz1gHun88dIy0oamnAXUtNahrq0FdSw1qWqpVQrdbGogIglIBivNLUJRfguL8YhTmFiM3TbzLzUnLQ056LlKj05HwKbnc+QJiHfC2/JZo00/c/cu4tmEl/iT/S2ZSFoJ8whDkHYrg56GID0uCsooS+o3tCftFNpzmXnxNYW4RPE/74Oz6K8jNyEdvh65wW+8kT0KsQlRKljWPx/sFQCERbf+718h3yD8viRHJOLPuCp6eewEigraBFgZO6Au7hcOga8R96Uh6fAbuHX2CkFfhiPCPLnd0SsqKqN/GEoMm8dHHqZtMk3X+jf9r786D4z7rO46/n11dq12t7vuyZMuWZVny7Th2FDtxbAhQEpqkpIUmDFMKLQWmzECnM7RMZmDaTBvaGdpAKMxQaEpDDhJMIM5h7CS+5VOyZcm679W90t67evrHb7U+Yhs5ulbW9zWj2UO7/v30+Df72ef3e57vEwqFaKvrpONiNz3NffQ099HbbPSsRx1jBPzBW74/JtZMnCWOeEscifZE8lbkkLMsi9ySLHJKsshelmmEeqZ91opHTIfP48M5NMFgt1Gbuq9tIHzroOdyH26nB5/Hj8/tu2VJzZhYM6k5KWQVZVC4Mo+CVfkUludRVJ5Pfllu1F2fH+4b4fUfGfPse1v6AaN865od5VTVVLD7szVk5KXNybYdHQP87KkXefvnhwj4g1TvXMNf/PNnWLV5xZxsT3x48xLISikrYNJaj4fvvwk8pbX+3c3eI4F853N0DHDmQD1Hf1PLey8dI94Sx97P7WL7w1uo3FE+J6OTJycn6bncR+PJZprPtnP8t6doq+sk0W5h92dquPuTm1m1eUVUFz7QWuMe9zDqGGNswMnEqBu304173Ivb6cYz4cXv8ePz+PF7/IyPuuhu6qWv1XHN9dMpFluC0dNOsWKxJWBJMkpZJiQmEBsfQ0xcDLFxxq3JfOVMhlIKrTWh4CRBf5BgIEgoEMLn9eN1+SL1qj3jXpxDRjUwr9v3ge0npdnIWZZJflkuthQr8YnxxFvisNgSsCYnkmhPNHr/dgup2SmkZi+OkprBQJCG45fZ94P9HHzhMMFAiI17qtm0p5qqeytYXr1sTs/QODoGePGZfez7wX4APvL5+9n75E5Wbloe9W23VM1XIJcCr4QfxgDPa62/c6v3SCAvLR0N3Tz/3Zc49MIRAv4giUkWNjxQxZaPrqfq3opZW6Hmelpr6g9fYt8P90e2DVBYnk/5lhWUbSg1FmQozqSwPH/Rl3+cGHXR1+qgv32AsQEnowNOxgacjA06cY0ZYe6Z8OIZ9+B1+Qj4g0bY+oP4fQF0uNd69WeBOcZMbFwM5liz0TNPiCPBlhCpVW2xJWBPnyqlaQxiS8tNjbTrfM7lnSt+r5/Wuk5az3fQeLKZplMttJxtw+8NkGi3sPfJXfzRX+2ds9XNwPg/aTrVwpHXTnLk1ydpPtOGyWxizxM7+ew/PHLHlYC9E0lhEBFVPBMeTr9Tx/HXT3P89VORtW7X3VfJp7/5EBt2V83Zt3vXmIuG45fDP000HLt8zbXJpDQb9z2+g3seuYuKbStlfvESd7OCMYlJFlZsKKFsQykrNy3nro9vnNMvHaFgiPdePsaL39tHw7EmTCbFmu3lbPvEJnZ8aiu5pdlztm0xuySQRdTSWtN+oYvjr5/i5X//DUM9I5RtKOGhv3mQyh3l5JZmz+mpN601o44xHB2D9Lb0c/i1E7z/ynH83gAWWwLr7qtk8951VO+qJLc0SwL6Dqe1pqe5j4Zjl2k41sTZg/W0nu8gNj6We/54K9sf2kLJ2iLyy3JnfZDi00/D5s2wa9eV5/a96ub5H7ZA/fcZ6BwitzSbR7/+Ce597G6ZOrdISSCLRcHvC/D2zw/xf0+/SndTL2DMNy7btJxVm5aztqaCjQ9UzfkUFve4hzPv1HHid6c5+cYZ+toGADCZFBkF6eSWZpOzLIuM/DRSspJZsaGEim0rF3xqjZi+qVO/Fw43MtA1xGD3EANdQ7TXd+EcMtagTrDGs2rzCmoe2caux7fPypKkt3LgADz2GPzkRy5CnYd49aVxnj/4ESp5hvvuVzz8lQfZ+rENi350/VIngSwWlVAoRMvZdmO5uxPNNNY203q+g8nQJIWr8vjU1z7O7s/WzMu8Xa013U291B++RF+rg97WfnpbHMZI6P7RyCjhtNxUtn1iE1U1q1mzvZysogwZVBNlvG4fZ96p4+i+Wo79ppbB7mHAqFeeUZBORkEa+StyWb21jPKtZfM+Zc7ROch3v3aCZ1/eTj776THt5fMP/p6vf6eK0qriedsPMbckkMWi5/P4eP9XJ3jxmV/TVNuCPT2JB/78XlZtXkFpdTEFZbnzPt84FAoxNuDkzDt1vPfKMU6+cTZS+CM9L5U128tZVlFIVnEGOcuyyCrOILMgXcoVziGtNV6Xl+G+Uboae+ls6KbrUg8dl7q5dPxy5FLEpr3VbHlwI5v2VpOem7ogX54C/gAXjzZRu/8stW+epfFkCyazieDqv+Xtc1v41rfgqafmfbfEHJNAFncMrTV17zXw0vd+zdF9pwgFQwDEJcRSvKaQZZWF7P6zGtbfv3beP2RDwRCt5zuoP3yJ+sMNXDjcSH/7wAdel5hkISnNhi3VSlKqFWtyIqnZKazZXk5VzWoZKfsH+H1GgZVzBy/QWtfOxKgb59C4MaLcMYbfG7jm9fb0JArL81i50Rh8VXnP6gUbSe8cHud3P36Hk/vP0nCsCc+EF5PZxOq7yti4u5rElQ/wxa+k8KUvwbPPwgsvXHtNWSx+EsjijuT3Behs6KblbDst59ppOd9OU20L48MTFK7K4+Nf3MOeJ3Yu6Hxjvy/AQOcg/W0D9LcPMNg1zPjIBBOjLsaHJxgfmcDt9NDfPhApZpKancyKDaUsqyigqKKQZWsKyC3Nxp6etKROgwf8AYZ7RyPlMlvr2mk910H7hS4CPiN081bkYE9PIinValQ1y7CHK5zZyS/LpXBVHskZ9gX9O6YGLr76/d/y1s8O4XX7WLG+hNVby9i4p5p1u9ZgTbZGriFPhfD1j8WdQQJZLBl+r5+DvzzCa//5hjE9xGyiuKKAso2lxhSVjaUUrMwjKc0WVeEWChm967p3G2isbab5bBudDT2R4AHjWmdabirpeamk5qSQlGrDlmLFlmrFlmKU1kywxhOfGB+5jZsq+hEfa/zExWCOMWGKMeYTm8wmTCbTjNpCax0uHhIiFJwM34YI+oMEfEECvgABXwC/L4jP7cPr8uF1efG5/bjG3MYXlBEX46MTjIcrfA12D18zHQ2M6/Qla4soXVtE5Y7VVN5Tjj0t+kYae1xeWs62c+FIIxeOXOLCkUaGe0eIjY/l/j/dwcNf/dgNrwnfaJT1gQNw4gR84xvz+AeIOSWBLJakxtpm3n/lOE2nWmiqbWF0wBn5XbwljuXrS9j75C52/sndUVm4Ymq5x/b6Thwdgwz1DDPUO8Jg9zAjfaNMjLqYGHHh8/hnvC2lFMqkMJkUKjxaXKnw8+FqXTAVvoDWTE5q9OTkLctfTpfFlmCcwk+zkZGfRkZemjHQKj+NvOU5lKwtiuppPt2Xe/ntf73NgV+8j6PjymJ3OSVZrLl7FRXbVlHz6F1zUjZWLC4SyGLJ01oz2D1M06kW+lodODoGOfnGGdovdBEbH8vae8rZsLuajQ9UUVpdvKimMPl9AVyjLjwTXnxuHx6X0Qv1uX3h3mmQgN/oqYYC4d5r+DYUDKEnNZOTk8ZtaPKa0J26PxXOAKip4FZG7zp8a441Y44xGz1ws4nYcM/8Sg89hgRruLqXNZ4Eq1HC05ZiXXQD3fy+AI0nm6l79yIn95/l7O/rMZlNbPnoesq3lrFsTSGr7yojLWf2liEVdwYJZCFuQGvNxaONHPrlEWrfOhdZzzgl005JVTFZhRlkFWWQVZxJZoEx5/hOKK0ppm+od4Sey33GXOUuY65yy7l2Go41RQaPFa3O577H72Hv53bOyVKK4s4igSzENAz2DHP6rfOcfuc8XY099LcPMtw7cs1rrMmJ3P3QZnY+tp11u9bM6ypKYn44OgY49OJRDv7yCA3Hmq75ncWWQMGqPNbuWM3amtVU7iiX09DitkggC/Eh+X2BSM9opG+UE2+c4f1XjuMac0eWdizfWsbqrWWUbSwlqyiDeMvcFywRs8PvC9Dd2EP7hS7aL3RR++ZZLh41QnjF+hJqHtnGyk2lkevZVnviAu+xWOwkkIWYRX5fgNNvneP8uxe5eKyJxhPN1yw5aE9PIqMgjYz8NJIz7FjtiViTjZ+03FSq7q0gs0BObc4H15iLMwfq6W3pj8xVHhs0VsAa6Rulr9URGZSmlGL5umXUPLKNmkfvmrPVx8TSJoEsxBwKBUO01XfSfKYtcq1xauqOc2gc15gbt9NzzXKGhavyWH//WjbsrmLV5uWk56VF1TSsxUhrzUDnoLE8Ym1LpLc7GZoEwGQ2kZyRRHKmnZRMY75yflkuxRWFFK3Op2BlrpzdEHNOAlmIBTY5OYnX5aO3pZ/Tb5/n1NvnOX/wQqRnnWCNjxSyyC3NJi0nlZQsO6nZKaRk2bGl2ki0W0hIjF+SwR0MBHGNucPzll3GFLCekchtd1MvLefacY25AaO3W7axlE17qtm4p5rSqmIS7ZZFNXpe3JkkkIWIQgF/gIZjl2mr66CrsZeuph66LvXQ1zYQ6dVdz2RSWJIsJCZZiLPEEZcQa/xY4owpRrFmYuNiiE+MJ6swg9zSbDKLwqPFizKwWBPm+a+8IhgIMtA1hKNjEEf7IP3tA/S09OF2esJFRIwpWj6PH7/Hj9ftw+/x4x734HX5bvhvKqVIzUkhpySL0rVFlFYVU1JVTEllIdbkhavQJsTNSCALsYhMTk7iHBpn1GHUZh7pH2Ni1IXb6cEz7sHldOOd8OLz+vF7A/g9fnwevxFq/iBBfxDPhJeBzqFIre8pFlsC9vQk7BlJRsnJNBuW8NzghPDc4LiEWGJiYzDHGtW8YmJj4OpOuYZQaJJQIGjMZw6ECPiDeF1evC4fngkvXrcX16ibsUEnzqEJnINOJkbdXP/5kp6XSlKaLVJFLCb8ZSLeEkd8YhzxCXFYbAlYU4xqZLYUK9aURNKnKpZlp8z7oiJCzMTtBPLimp0vxB3IZDKRkplsTKdZU/ih/51QMMRQzzCOjkH62wdxdAwy0j+Kc3gc59AE40Pj9LU6jAANh+nNeubTNRXqCdZ4bClW7Ok2soszSUpLIjkjiayiDLKLM8kqziSrMF2mjQlxCxLIQtwhzDFmsooyySrKpHLHH3691jpSdzoYCFfzCveCr2cym4iJNWOOjTF60XExxFvi5BqtELNIAlmIJUopRVxCnPRahYgS8vVWCCGEiAISyEIIIUQUkEAWQgghooAEshBCCBEFJJCFEEKIKCCBLIQQQkQBCWQhhBAiCkggCyGEEFFAAlkIIYSIAhLIQgghRBSQQBZCCCGigASyEEIIEQUkkIUQQogoIIEshBBCRAEJZCGEECIKSCALIYQQUUACWQghhIgCMwpkpdRHlFKXlFKXlVJ/N1s7JYQQQiw1HzqQlVJm4D+AjwIVwONKqYrZ2jEhhBBiKZlJD3kLcFlr3aK19gO/AD45O7slhBBCLC0zCeR8oPOqx13h54QQQghxm2Jm8F51g+f0B16k1BeAL4Qf+pRSdTPY5lKSAQwu9E4sEtJW0ydtdXukvaZP2urGiqf7wpkEchdQeNXjAqDn+hdprZ8DngNQSp3UWm+awTaXDGmr6ZO2mj5pq9sj7TV90lYzN5NT1ieAMqWIC9M8AAADE0lEQVRUiVIqDvg08Nrs7JYQQgixtHzoHrLWOqiU+jLwBmAGfqK1rp+1PRNCCCGWkJmcskZr/Trw+m285bmZbG+JkbaaPmmr6ZO2uj3SXtMnbTVDSusPjMMSQgghxDyT0plCCCFEFJiXQJYSm7dHKdWmlDqvlDqjlDq50PsTTZRSP1FKOa6ePqeUSlNKvamUagrfpi7kPkaLm7TVt5VS3eFj64xS6sGF3MdooZQqVEodUEpdVErVK6W+Gn5ejq3r3KKt5NiaoTk/ZR0usdkIPIAxVeoE8LjW+sKcbngRU0q1AZu01jKn7zpKqRpgAvhvrXVl+LmngWGt9T+Fv/Claq2/uZD7GQ1u0lbfBia01v+ykPsWbZRSuUCu1vqUUioJqAUeAp5Ejq1r3KKtHkOOrRmZjx6ylNgUs0ZrfQgYvu7pTwI/Dd//KcaHw5J3k7YSN6C17tVanwrfHwcuYlQelGPrOrdoKzFD8xHIUmLz9mlgv1KqNlzpTNxatta6F4wPCyBrgfcn2n1ZKXUufEp7yZ+CvZ5SahmwHjiGHFu3dF1bgRxbMzIfgTytEpviGtu11hswVtL66/CpRyFmw7PAcmAd0Av868LuTnRRStmAl4Cvaa2dC70/0ewGbSXH1gzNRyBPq8SmuEJr3RO+dQCvYJz2FzfXH76uNXV9y7HA+xO1tNb9WuuQ1noS+BFybEUopWIxAuZ/tNYvh5+WY+sGbtRWcmzN3HwEspTYvA1KKWt4oARKKSuwB5AFOW7tNeCJ8P0ngFcXcF+i2lS4hD2MHFsAKKUU8GPgotb6mat+JcfWdW7WVnJszdy8FAYJD3//N66U2PzOnG90kVJKlWL0isGopPa8tNcVSqn/BXZirCzTD/wj8CvgBaAI6AAe1Vov+cFMN2mrnRinFDXQBvzl1DXSpUwptQN4FzgPTIaf/nuMa6NybF3lFm31OHJszYhU6hJCCCGigFTqEkIIIaKABLIQQggRBSSQhRBCiCgggSyEEEJEAQlkIYQQIgpIIAshhBBRQAJZCCGEiAISyEIIIUQU+H+KBeuWFrIBfAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data()\n",
    "useMV = False\n",
    "plot_contours(*get_gaussian_params(X, useMV))\n",
    "\n",
    "# Then contours with multivariate gaussian:\n",
    "plot_data()\n",
    "useMV = True\n",
    "# *表示解元组\n",
    "plot_contours(*get_gaussian_params(X, useMV))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
